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1.

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EB
edited by Christopher Heil
出版情報: Boston, MA : Birkhäuser Boston, 2006
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/0-8176-4504-7
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2.

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by Karl-Georg Steffens ; edited by George A. Anastassiou
出版情報: Boston, MA : Birkhäuser Boston, 2006
オンライン: http://dx.doi.org/10.1007/0-8176-4475-X
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3.

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by Ivan Singer
出版情報: New York, NY : Springer Science+Business Media, Inc., 2006
シリーズ名: CMS Books in Mathematics ;
オンライン: http://dx.doi.org/10.1007/0-387-28395-1
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4.

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by J.J. Duistermaat, J.A.C. Kolk
出版情報: Boston : Springer Science+Business Media, LLC, 2010
シリーズ名: Cornerstones ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4675-2
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5.

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by Michael Elad
出版情報: New York, NY : Springer Science+Business Media, LLC, 2010
オンライン: http://dx.doi.org/10.1007/978-1-4419-7011-4
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6.

電子ブック

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edited by Ari Laptev
出版情報: New York, NY : Springer Science+Business Media, LLC, 2010
シリーズ名: International Mathematical Series ; 11
オンライン: http://dx.doi.org/10.1007/978-1-4419-1341-8
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7.

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by André Voros
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Lecture Notes of the Unione Matematica Italiana ; 8
オンライン: http://dx.doi.org/10.1007/978-3-642-05203-3
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8.

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edited by Walter Gautschi, Giuseppe Mastroianni, Themistocles M. Rassias
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
シリーズ名: Springer Optimization and Its Applications ; 42
オンライン: http://dx.doi.org/10.1007/978-1-4419-6594-3
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9.

電子ブック

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edited by Emmanuil H Georgoulis, Armin Iske, Jeremy Levesley
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Springer Proceedings in Mathematics ; 3
オンライン: http://dx.doi.org/10.1007/978-3-642-16876-5
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10.

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by Omar Hijab
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
シリーズ名: Undergraduate Texts in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4419-9488-2
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11.

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by Frédéric Pham
出版情報: London : Springer-Verlag London Limited, 2011
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-0-85729-603-0
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12.

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by Lindsay A. Skinner
出版情報: Boston, MA : Springer Science+Business Media, LLC, 2011
オンライン: http://dx.doi.org/10.1007/978-1-4419-9958-0
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13.

電子ブック

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by Ole Christensen, Khadija L. Christensen
出版情報: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2005
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4448-2
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Preface
Approximation with Polynomials
Infinite Series
Fourier Analysis
Wavelets and Applications
Wavelets and their Mathematical Properties
Appendix A
Appendix B
References
Index
Preface
Approximation with Polynomials
Infinite Series
14.

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by Maoan Han, Pei Yu
出版情報: London : Springer London, 2012
シリーズ名: Applied Mathematical Sciences ; 181
オンライン: http://dx.doi.org/10.1007/978-1-4471-2918-9
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15.

電子ブック

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edited by Panos M. Pardalos, Pando G. Georgiev, Hari M. Srivastava
出版情報: New York, NY : Springer New York, 2012
シリーズ名: Springer Optimization and Its Applications ; 68
オンライン: http://dx.doi.org/10.1007/978-1-4614-3498-6
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16.

電子ブック

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by Ulrich Kohlenbach
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-540-77533-1
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17.

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by Sorin G. Gal
出版情報: Boston, MA : Birkhäuser Boston, 2008
オンライン: http://dx.doi.org/10.1007/978-0-8176-4703-2
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18.

電子ブック

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by Steven G.G. Krantz ; edited by John J. Benedetto
出版情報: Boston, MA : Birkhäuser Boston, 2009
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4669-1
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19.

電子ブック

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by Valery V. Volchkov, Vitaly V. Volchkov
出版情報: London : Springer London, 2009
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-84882-533-8
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20.

電子ブック

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by Mi-Ho Giga, Yoshikazu Giga, Jürgen Saal
出版情報: Boston : Springer Science+Business Media, LLC, 2010
シリーズ名: Progress in Nonlinear Differential Equations and Their Applications ; 79
オンライン: http://dx.doi.org/10.1007/978-0-8176-4651-6
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21.

電子ブック

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by Corrado De Concini, Claudio Procesi
出版情報: New York, NY : Springer Science+Business Media, LLC, 2010
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-0-387-78963-7
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22.

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by James J. Callahan
出版情報: New York, NY : Springer Science+Business Media, LLC, 2010
シリーズ名: Undergraduate Texts in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4419-7332-0
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23.

電子ブック

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by Johan Villiers
出版情報: Paris : Atlantis Press : Imprint: Atlantis Press, 2012
シリーズ名: Mathematics Textbooks for Science and Engineering ; 1
オンライン: http://dx.doi.org/10.2991/978-94-91216-50-3
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24.

電子ブック

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by Rinaldo B. Schinazi
出版情報: Boston : Springer Science+Business Media, LLC, 2012
オンライン: http://dx.doi.org/10.1007/978-0-8176-8289-7
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25.

電子ブック

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by Herb Kunze, Davide La Torre, Franklin Mendivil, Edward R. Vrscay
出版情報: Boston, MA : Springer Science+Business Media, LLC, 2012
オンライン: http://dx.doi.org/10.1007/978-1-4614-1891-7
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26.

電子ブック

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by Jorge Bustamante
出版情報: Basel : Springer Basel AG, 2012
シリーズ名: Frontiers in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-0348-0194-2
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27.

電子ブック

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edited by Marian Neamtu, Larry Schumaker
出版情報: New York, NY : Springer Science+Business Media, LLC, 2012
シリーズ名: Springer Proceedings in Mathematics ; 13
オンライン: http://dx.doi.org/10.1007/978-1-4614-0772-0
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28.

電子ブック

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by S. Ponnusamy
出版情報: Boston : Springer Science+Business Media, LLC, 2012
オンライン: http://dx.doi.org/10.1007/978-0-8176-8292-7
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29.

電子ブック

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edited by Jon Lee, Sven Leyffer
出版情報: New York, NY : Springer Science+Business Media, LLC, 2012
シリーズ名: The IMA Volumes in Mathematics and its Applications ; 154
オンライン: http://dx.doi.org/10.1007/978-1-4614-1927-3
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30.

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by Silvestru Sever Dragomir
出版情報: New York, NY : Silvestru Sever Dragomir, 2012
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-1779-8
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31.

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by Archil Gulisashvili
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
シリーズ名: Springer Finance ;
オンライン: http://dx.doi.org/10.1007/978-3-642-31214-4
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目次情報: 続きを見る
Preface
Aknowledgements
1.Volatility Processes
2.Stock Price Models with Stochastic Volatility
3.Realized Volatility and Mixing Distributions
4.Integral Transforms of Distribution Densities
5.Asymptotic Analysis of Mixing Distributions
6.Asymptotic Analysis of Stock Price Distributions
7.Regularly Varying Functions and Pareto Type Distributions
8.Asymptotic Analysis of Option Pricing Functions
9.Asymptotic Analysis of Implied Volatility
10.More Formulas for Implied Volatility
11.Implied Volatility in Models Without Moment Explosions
Bibliography
Index
Preface
Aknowledgements
1.Volatility Processes
32.

電子ブック

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edited by Peter G. Casazza, Gitta Kutyniok
出版情報: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8373-3
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Introduction
Constructing Finite Frames with a Given Spectrum.-Spanning and Independence Properties of Finite.-Alegebraic Geometry and Finite Frames
Group Frames
Gabor Framses in Finite Dimensions
Frames as Codes
Quantization and Finite Frames
Finite Frames for Sparse Signal Processing
Finite Frames and Filter Banks
Finite Frame theory in Pure Mathematics
Probabilitstic Frames
Fusion Frames
Introduction
Constructing Finite Frames with a Given Spectrum.-Spanning and Independence Properties of Finite.-Alegebraic Geometry and Finite Frames
Group Frames
33.

電子ブック

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by Volker Michel
出版情報: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8403-7
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Introduction: the Problem to be Solved
Part I Basics
Basic Fundamentals—What You Need to Know
Approximation of Functions on the Real Line
Part II Approximation on the Sphere
Basic Aspects
Fourier Analysis
Spherical Splines
Spherical Wavelet Analysis
Spherical Slepian Functions
Part III Approximation on the 3D Ball
Orthonormal Bases
Splines
Wavelets for Inverse Problems on the 3D Ball
The Regularized Functional Matching Pursuit (RFMP)
References
Index
Introduction: the Problem to be Solved
Part I Basics
Basic Fundamentals—What You Need to Know
34.

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by Svetlozar T. Rachev, Lev B. Klebanov, Stoyan V. Stoyanov, Frank Fabozzi
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-1-4614-4869-3
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Main directions in the theory of probability metrics
Probability distances and probability metrics: Definitions
Primary, simple and compound probability distances, and minimal and maximal distances and norms
A structural classification of probability distances.-Monge-Kantorovich mass transference problem, minimal distances and minimal norms
Quantitative relationships between minimal distances and minimal norms
K-Minimal metrics
Relations between minimal and maximal distances
Moment problems related to the theory of probability metrics: Relations between compound and primary distances
Moment distances
Uniformity in weak and vague convergence
Glivenko-Cantelli theorem and Bernstein-Kantorovich invariance principle
Stability of queueing systems.-Optimal quality usage
Ideal metrics with respect to summation scheme for i.i.d. random variables
Ideal metrics and rate of convergence in the CLT for random motions
Applications of ideal metrics for sums of i.i.d. random variables to the problems of stability and approximation in risk theory
How close are the individual and collective models in risk theory?- Ideal metric with respect to maxima scheme of i.i.d. random elements
Ideal metrics and stability of characterizations of probability distributions
Positive and negative de nite kernels and their properties
Negative definite kernels and metrics: Recovering measures from potential
Statistical estimates obtained by the minimal distances method
Some statistical tests based on N-distances
Distances defined by zonoids
N-distance tests of uniformity on the hypersphere.-
Main directions in the theory of probability metrics
Probability distances and probability metrics: Definitions
Primary, simple and compound probability distances, and minimal and maximal distances and norms
35.

電子ブック

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by Sylvain Ervedoza, Enrique Zuazua
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-5808-1
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1.Numerical approximation of exact controls for waves
2.The discrete 1-d wave equation
3.Convergence for homogeneous boundary conditions
4.Convergence with non-homogeneous data
5. Further comments and open problems
References
1.Numerical approximation of exact controls for waves
2.The discrete 1-d wave equation
3.Convergence for homogeneous boundary conditions
36.

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edited by George A. Anastassiou, Oktay Duman
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 41
オンライン: http://dx.doi.org/10.1007/978-1-4614-6393-1
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Approximation by Neural Networks Iterates. George A. Anastassiou
Univariate Hardy Type Fractional Inequalities. George A. Anastassiou
Statistical Convergence on Time Scales and its Characterizations. Ceylan Turan and Oktay Duman
On the g-Jacobi Matrix Functions Bayram C¸ ekim and Esra Erkus¸-Duman
Linear Combinations of Genuine Sz´asz-Mirakjan-Durrmeyer Operators. Margareta Heilmann and Gancho Tachev
Extensions of Schur’s Inequality for the Leading Coefficient of Bounded Polynomials with Two Prescribed Zeros. Heinz-Joachim Rack
An Example of Optimal Nodes for Interpolation Revisited. Heinz-Joachim Rack
Theory of Differential Approximations of Radiative Transfer Equation. Weimin Han, Joseph A. Eichholz and Qiwei Sheng
Inverse Spectral Problems for Complex Jacobi Matrices. Gusein Sh. Guseinov
To Approximate Solution of Ordinary Differential Equations, I. Tamaz S. Vashakmadze
A Hybrid Method for Inverse Scattering Problem for a Dielectric. Ahmet Altundag
Solving Second Order Discrete Sturm-Liouville BVP Using Matrix Pencils. Michael K. Wilson and Aihua Li
Approximation Formulas for the Ergodic Moments of Gaussian Random Walk with a Reflecting Barrier. Tahir Khaniyev, Basak Gever and Zulfiyya Mammadova
A Generalization of Some Orthogonal Polynomials. Boussayoud Ali, Kerada Mohamed and Abdelhamid Abderrezzak
Numerical Study of the High-Contrast Stokes Equation and its Robust Preconditioning. Burak Aksoylu and Zuhal Unlu
Extension of Karmarkar’s Algorithm for Solving an Optimization Problem. El Amir Djeffal, Lakhdar Djeffal and Djamel Benterki
State Dependent Sweeping Process with Perturbation. Tahar Haddad and Touma Haddad
Boundary Value Problems for Impulsive Fractional Differential Equations with Non-Local Conditions. Hilmi Ergoren and M. Giyas Sakar
The Construction of Particular Solutions of the Nonlinear Equation of Schodinger Type. K.R. Yesmakhanova and Zh.R. Myrzakulova
A Method of Solution for Integro-Differential Parabolic Equation with Purely Integral Conditions. Ahcene Merad and Abdelfatah Bouziani
A Better Error Estimation On Sz´asz Baskakov Durrmeyer Operators. Neha Bhardwaj and Naokant Deo
About New Class of Volterra Type Integral Equations with Boundary Singularity in Kernels. Nusrat Rajabov
Fractional Integration of the Product of Two Multivariables H-Function and a General Class of Polynomials. Praveen Agarwal
Non-Asymptotic Norm Estimates for the q-Bernstein Operators. Sofiya Ostrovska and Ahmet Yas¸ar O¨ zban
Approximation Techniques in Impulsive Control Problems for the Tubes of Solutions of Uncertain Differential Systems. Tatiana Filippova
A New Viewpoint to Fourier Analysis in Fractal Space. Mengke Liao, Xiaojun Yang and Qin Yan
Non-Solvability of Balakrishnan-Taylor Equation With Memory Term in RN , Abderrahmane Zarai and Nasser-eddine Tatar
Study of Third-Order Three-Point Boundary Value Problem With Dependence on the First Order Derivative. A. Guezane-Lakoud and L. Zenkoufi
Reverse and Forward Fractional Integral Inequalities. George A. Anastassiou and Razvan A. Mezei
Approximation by Neural Networks Iterates. George A. Anastassiou
Univariate Hardy Type Fractional Inequalities. George A. Anastassiou
Statistical Convergence on Time Scales and its Characterizations. Ceylan Turan and Oktay Duman
37.

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by Feng Dai, Yuan Xu
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-6660-4
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1 Spherical Harmonics
2 Convolution and Spherical Harmonic Expansion
3 Littlewood-Paley Theory and Multiplier Theorem
4 Approximation on the Sphere
5 Weighted Polynomial Inequalities
6 Cubature Formulas on Spheres
7 Harmonic Analysis Associated to Reflection Groups
8 Boundedness of Projection Operator and Cesàro Means
9 Projection Operators and Cesàro Means in L^p Spaces
10 Weighted Best Approximation by Polynomials
11 Harmonic Analysis on the Unit Ball
12 Polynomial Approximation on the Unit Ball
13 Harmonic Analysis on the Simplex
14 Applications
A Distance, Difference and Integral Formulas
B Jacobi and Related Orthogonal Polynomials
References
Index
Symbol Index
1 Spherical Harmonics
2 Convolution and Spherical Harmonic Expansion
3 Littlewood-Paley Theory and Multiplier Theorem
38.

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by Ali Aral, Vijay Gupta, Ravi P Agarwal
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-1-4614-6946-9
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Introduction of q-calculus
q-Discrete operators and their results
q-Integral operators
q-Bernstein type integral operators
q-Summation-integral operators
Statistical convergence of q-operators
q-Complex operators
Introduction of q-calculus
q-Discrete operators and their results
q-Integral operators
39.

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by Sorin G. Gal
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-1-4614-7098-4
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目次情報:
Overconvergence in C of Some Bernstein-Type Operators
Overconvergence and Convergence in C of Some Integral Convolutions
Overconvergence in C of the Orthogonal Expansions
Overconvergence in C of Some Bernstein-Type Operators
Overconvergence and Convergence in C of Some Integral Convolutions
Overconvergence in C of the Orthogonal Expansions
40.

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by Sergey Kislyakov, Natan Kruglyak
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
シリーズ名: Monografie Matematyczne ; 74
オンライン: http://dx.doi.org/10.1007/978-3-0348-0469-1
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Preface
Introduction
Definitions, notation, and some standard facts
Part 1. Background
Chapter 1. Classical Calderón–Zygmund decomposition and real interpolation
Chapter 2. Singular integrals
Chapter 3. Classical covering theorems
Chapter 4. Spaces of smooth functions and operators on them
Chapter 5. Some topics in interpolation
Chapter 6. Regularization for Banach spaces
Chapter 7. Stability for analytic Hardy spaces
Part 2. Advanced theory
Chapter 8. Controlled coverings
Chapter 9. Construction of near-minimizers
Chapter 10. Stability of near-minimizers
Chapter 11. The omitted case of a limit exponent
Chapter A. Appendix. Near-minimizers for Brudnyi and Triebel–Lizorkin spaces
Notes and remarks
Bibliography
Index
Preface
Introduction
Definitions, notation, and some standard facts
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by Ştefan Cobzaş
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
シリーズ名: Frontiers in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-0348-0478-3
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Introduction.- 1. Quasi-metric and Quasi-uniform Spaces. 1.1. Topological properties of quasi-metric and quasi-uniform spaces
1.2. Completeness and compactness in quasi-metric and quasi-uniform spaces.- 2. Asymmetric Functional Analysis
2.1. Continuous linear operators between asymmetric normed spaces
2.2. Hahn-Banach type theorems and the separation of convex sets
2.3. The fundamental principles
2.4. Weak topologies
2.5. Applications to best approximation
2.6. Spaces of semi-Lipschitz functions
Bibliography
Index
Introduction.- 1. Quasi-metric and Quasi-uniform Spaces. 1.1. Topological properties of quasi-metric and quasi-uniform spaces
1.2. Completeness and compactness in quasi-metric and quasi-uniform spaces.- 2. Asymmetric Functional Analysis
2.1. Continuous linear operators between asymmetric normed spaces
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by Oleg Karpenkov
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Algorithms and Computation in Mathematics ; 26
オンライン: http://dx.doi.org/10.1007/978-3-642-39368-6
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Preface
Introduction
Part 1. Regular continued fractions: Chapter 1. Classical notions and definitions
Chapter 2. On integer geometry
Chapter 3. Geometry of regular continued fractions
Chapter 4. Complete invariant of integer angles
Chapter 5. Integer trigonometry for integer angles
Chapter 6. Integer angles of integer triangles
Chapter 7. Continued fractions and SL(2; Z) conjugacy classes. Elements of Gauss Reduction Theory. Markoff spectrum
Chapter 8. Lagrange theorem
Chapter 9. Gauss-Kuzmin statistics
Chapter 10. Geometric approximation aspects
Chapter 11. Geometry of continued fractions with real elements and the second Kepler law
Chapter 12. Integer angles of polygons and global relations to toric singularities
Part 2. Klein polyhedra: Chapter 13. Basic notions and definitions of multidimensional integer geometry
Chapter 14. On empty simplices, pyramids, parallelepipeds
Chapter 15. Multidimensional continued fractions in the sense of Klein
Chapter 16. Dirichlet groups and lattice reduction
Chapter 17. Periodicity of Klein polyhedra. Generalization of Lagrange theorem
Chapter 18. Multidimensional Gauss-Kuzmin statistics
Chapter 19. On construction of multidimensional continued fractions
Chapter 20. Gauss Reduction in higher dimensions
Chapter 21. Decomposable forms. Relation to Littlewood and Oppenheim conjectures
Chapter 22. Approximation of maximal commutative subgroups
Chapter 23. Other generalizations of continued fractions
Bibliography
Preface
Introduction
Part 1. Regular continued fractions: Chapter 1. Classical notions and definitions
43.

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edited by Gradimir V. Milovanović, Michael Th. Rassias
出版情報: New York, NY : Springer New York : Imprint: Springer, 2014
オンライン: http://dx.doi.org/10.1007/978-1-4939-0258-3
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Part I. Analytic Number Theory, Combinatorics, and Special Sequences of Numbers and Polynomials
The mean values of the Riemann Zeta function on the critical line (A. Ivić)
Explicit bounds concerning non-trivial zeros of the Riemann Zeta function (M. Hassani)
On the value-distribution of logarithmic derivatives of Dirichlet L-functions (Y. Ihara, K. Matsumoto)
Multiple Gamma functions and their applications (J. Choi)
On partition functions of hyperbolic three-geometry and associated Hilbert schemes (A.A. Bytsenko and E. Elizalde)
Families of twisted Bernoulli numbers, twisted Bernoulli polynomials and their applications (Y. Simsek)
Combinatorial interpretation of a generalized basic series (A.K. Agarwal, M. Rana)
Identities for reciprocal binomials (A. Sofo)
A note on q-Stirling numbers (M. Merca)
Part II. Analytic Inequalities and Applications
A survey on Cauchy–Bunyakovsky–Schwarz inequality for power series (A. Ibrahim, S.S. Dragomir)
Topics in special functions III (G.D. Anderson, M. Vuorinen, X. Zhang)
Completely monotone functions—a digest (M. Merkle)
New applications of superquadracity (S. Abramovich)
Green's operator and differential forms (S. Ding, Y. Xing)
Multidimensional discrete Hilbert-type inequalities, operators and compositions (B. Yang)
The function (bx-ax)/x: Ratio's properties (F. Qi, Q.-M. Luo, B.-N. Guo)
On the approximation and bounds of the Gini mean difference (P. Cerone)
On parametric nonconvex variational inequalities (M.A. Noor)
Part III. Approximation of Functions and Quadratures
Simultaneous approximation for Stancu type generalization of certain summation-integral typfe operators (N.K. Govil, V. Gupta)
Korovkin type approximation theorem for functions of two variables via statistical summability (M. Mursaleen, S.A. Mohiuddine)
Reflections on the Baker–Gammel–Wills (Padé) conjecture (D.S. Lubinsky)
Optimal quadrature formulas and interpolation splines minimizing the semi-norm in the Hilbert space K2(P2) (A.R. Hayotov, G.V. Milovanović, K.M. Shadimetov)
Numerical integration of highly oscillating functions (G.V. Milovanović, M.P. Stanić)
Part IV. Orthogonality, Transformations and Applications
Asymptotic reductions between the Wilson polynomials and the lower level polynomials of the Askey scheme (C. Ferreira, J.L. López, E.P. Sinusía)
On a direct Uvarov–Chihara problem and some extensions (K. Castillo, L. Garza, F. Marcellán)
On special cases of Boas–Buck type polynomial sequences (A.F. Loureiro, S. Yakubovich)
Goursat's hypergeometric transformations, revisited (P.W. Karlsson)
Convolutions product and differential and integro-differential equations (A. Kiliçman)
Orthogonally additive-additive functional equation (C. Park)
Part V. Special and Complex Functions and Applications
Alternating Mathieu series, Hilbert–Eisteinstein series and their generalized Omega functions (A. Baricz, P.L. Butzer, T.K. Pogány)
Properties of the product of modified Bessel functions (A. Baricz, T.K. Pogány)
Mapping properties of an integral operator involving Bessel functions (S. Porwal, D. Breaz)
Poincaré α-series for classical Schottky groups (V.V. Mityushev)
Inclusion properties for certain classes of meromorphic multivalent functions (N.E. Cho)
A journey from Gross-problem to Fujimoto-condition (I. Lahiri, A Banerjee)
Index
Part I. Analytic Number Theory, Combinatorics, and Special Sequences of Numbers and Polynomials
The mean values of the Riemann Zeta function on the critical line (A. Ivić)
Explicit bounds concerning non-trivial zeros of the Riemann Zeta function (M. Hassani)
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by Vijay Gupta, Ravi P. Agarwal
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
オンライン: http://dx.doi.org/10.1007/978-3-319-02765-4
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1. Preliminaries
2. Approximation by Certain Operators
3. Complete Asymptotic Expansion
4. Linear and Iterative Combinations
5. Better Approximation
6. Complex Operators in Compact Disks
7. Rate of Convergence for Functions of BV
8. Convergence for BV/Bounded Functions on Bezier Variants
9. Some More Results on Rate of Convergence
10. Rate of Convergence in Simultaneous Approximation
11. Future Scope and Open Problems
1. Preliminaries
2. Approximation by Certain Operators
3. Complete Asymptotic Expansion
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edited by Themistocles M. Rassias, Panos M. Pardalos
出版情報: New York, NY : Springer New York : Imprint: Springer, 2014
オンライン: http://dx.doi.org/10.1007/978-1-4939-1106-6
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Some Unexpected Connections Between Analysis and Combinatorics (D. Andrica, E.J. Ionascu)
The Hilali Conjecture for Hyperelliptic Spaces (J.F. de Bobadilla, J. Fresnan, V. Munoz, A. Murillo)
Aveiro Discretization Method in Mathematics: A New Discretization Principle (L.P. Castro, H. Fujiwara, M.M. Rodrigues, S. Saitoh, V.K. Tuan)
Variational Inequality Models Arising in the Study of Viscoelastic Materials (O. Chau, D. Goeleven, R. Oujja)
Lucjan Emil Bottcher and his Mathematical Legacy (S. Domoradzki, M. Stawiska)
Spectral Properties of Toeplitz Operators Acting on Gabor Type Reproducing Kernel Hilbert Spaces (H.G. Feichtinger, K. Nowak, M. Pap)
Which Numbers Simplify Your Problem? (P. Giordano)
Approximation Properties of Phillips Operators (N.K. Govil, V. Gupta)
Geometric Patterns in Uniform Distribution of Zeros of the Riemann Zeta Function (M. Hassani)
Fractional Cauchy Problem in Sense of the Complex Hadamard Operators (R.W. Ibrahim)
Studies on Generalized Fractional Operators in a Complex Domain (R.W. Ibrahim)
On Completely Monotonic and Related Functions (S. Koumandos)
Hyers-Ulam Stability of Set-Valued Mappings (J.R. Lee, C. Park, Th.M. Rassias)
On the Generalized Hyers-Ulam Stability in Multi-Banach Spaces Associated to a Jensen-Type Additive Mapping (F. Moradlou, Th. M. Rassias)
Elliptic Problems with Nonhomogeneous Differential Operators and Multiple Solutions (D. Motreanu, P. Wikert)
Isotone Retractions onto the Positive Cone of the Ordered Euclidean Space (A.B. Nemeth, S.Z. Nemeth)
On the Circle Preserving Property of Mobius Transformations (N.Y. Ozgur)
Extended Crystal PDEs (A. Prastaro)
Multiplicative Arithmetic Functions of Several Variables: A Survey (L. Toth)
Sequential Maximality Principles (M. Turinici)
Univalence Conditions and Properties for Some New Integral Operators (N. Ularu, D. Breaz)
On the Study of Hyperbolic Triangles and Circles by Hyperbolic Barycentric Coordinates in Relativistic Hyperbolic Geometry (A.A. Ungar)
Multidimensional Half-Discrete Hilbert-Type Inequalities and Operator Expressions (B. Yang)
On the Extension Problems of Isometric and Nonexpansive Mappings (X. Yang, X. Zhao)
Some Unexpected Connections Between Analysis and Combinatorics (D. Andrica, E.J. Ionascu)
The Hilali Conjecture for Hyperelliptic Spaces (J.F. de Bobadilla, J. Fresnan, V. Munoz, A. Murillo)
Aveiro Discretization Method in Mathematics: A New Discretization Principle (L.P. Castro, H. Fujiwara, M.M. Rodrigues, S. Saitoh, V.K. Tuan)
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edited by Gregory E. Fasshauer, Larry L. Schumaker
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 83
オンライン: http://dx.doi.org/10.1007/978-3-319-06404-8
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Isogeometric Method for the Elliptic Monge-Ampère Equation
Dual Compatible Splines on non Tensor Product Meshes
Multivariate Anisotropic Interpolation on the Torus
A Generalized Class of Hard Thresholding Algorithms for Sparse Signal Recovery
On a New Proximity Condition for Manifold-Valued Subdivision Schemes
Wachspress and Mean Value Coordinates
Hermite and Bernstein Style Basis Functions for Cubic Serendipity Spaces on Squares and Cubes
Suitability of Parametric Shepard Interpolation for Nonrigid Image Registration
Parabolic Molecules: Curvelets, Shearlets and Beyond
Microlocal Analysis of Singularities from Directional Multiscale Representations
Barycentric Interpolation
Numerical Determination of Extremal Points and Asymptotic Order of Discrete Minimal Riesz Energy for Regular Compact Sets
Eigenvalue Sequences of Positive Integral Operators and Moduli of Smoothness
Reconstructing Multivariate Trigonometric Polynomials from Samples Along Rank-1 Lattices
On Non-degenerate Rational Approximation
Multivariate C1-continuous Splines on the Alfeld Split of a Simplex
On Convergence of Singular Integral Operators with Radial Kernels
Lower Bound on the Dimension of Trivariate Splines on Cells
One Characterization of Lagrange Projectors
Minimal versus Orthogonal Projections onto Hyperplanes in ℓn1 and ℓn∞
On Hermite Interpolation by Splines with Continuous Third Derivatives
Best Polynomial Approximation on the Unit Sphere and the Unit Ball
Support Vector Machines in Reproducing Kernel Hilbert Spaces versus Banach Spaces
Isogeometric Method for the Elliptic Monge-Ampère Equation
Dual Compatible Splines on non Tensor Product Meshes
Multivariate Anisotropic Interpolation on the Torus
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edited by Ferenc Hartung, Mihály Pituk
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 94
オンライン: http://dx.doi.org/10.1007/978-3-319-08251-6
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On Necessary and Sufficient Conditions for Preserving Convergence Rates to Equilibrium in Deterministically and Stochastically Perturbed Differential Equations with Regularly Varying Nonlinearity
Comparison Theorems for Second Order Functional Differential Equations
Analysis of Qualitative Dynamic Properties of Positive Polynomial Systems using Transformations
Almost Oscillatory Solutions of Second Order Difference Equations of Neutral Type
Uniform Weak Disconjugacy and Principal Solutions for Linear Hamiltonian Systems
Stability Criteria for Delay Differential Equations
Analyticity of Solutions of a Differential Equation with a Threshold Delay
Application of Advanced Integro-Differential Equations in Insurance Mathematics and Process Engineering
Stability and Control of Systems with Propagation
Discrete Itô Formula for Delay Stochastic Difference Equations with Multiple Noises
On Semilinear Hyperbolic Functional Equations
A Fast Parallel Algorithm for Delay Partial Differential Equations Modeling the Cell Cycle in Cell Lines Derived from Human Tumors
On Necessary and Sufficient Conditions for Preserving Convergence Rates to Equilibrium in Deterministically and Stochastically Perturbed Differential Equations with Regularly Varying Nonlinearity
Comparison Theorems for Second Order Functional Differential Equations
Analysis of Qualitative Dynamic Properties of Positive Polynomial Systems using Transformations
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edited by Qamrul Hasan Ansari
出版情報: New Delhi : Springer India : Imprint: Birkhäuser, 2014
シリーズ名: Trends in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-81-322-1883-8
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Chapter 1. Best Proximity Points
Chapter 2. Semi-Continuity Properties of Metric Projections
Chapter 3. Convergence of Slices, Geometric Aspects in Banach Spaces and Proximinality
Chapter 4. Measures of Non compactness and Well-Posed Minimization Problems
Chapter 5. Well-Posedness, Regularization and Viscosity Solutions of Minimization Problems
Chapter 6. Best Approximation in Nonlinear Functional Analysis
Chapter 7. Hierarchical Minimization Problems and Applications
Chapter 8. Triple Hierarchical Variational Inequalities
Chapter 9. Split Feasibility and Fixed Point Problems
Chapter 10. Isotone Projection Cones and Nonlinear Complementarity Problems
Chapter 1. Best Proximity Points
Chapter 2. Semi-Continuity Properties of Metric Projections
Chapter 3. Convergence of Slices, Geometric Aspects in Banach Spaces and Proximinality
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edited by Constantine Georgakis, Alexander M. Stokolos, Wilfredo Urbina
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 108
オンライン: http://dx.doi.org/10.1007/978-3-319-10545-1
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Preface (Constantine Georgakis)
Remembrances and Silhouettes
The Calderón brothers, a happy mathematical relation
Calixto Calderón as I knew him
An Appraisal of Calixto Calderón’s Work in Mathematical Biology
Remarks on various generalized derivatives
Some non standard applications of the Laplace method
Fejér Polynomials and Chaos
A note on Widder’s Inequality
Solyanik Estimates in Harmonic Analysis
Some open problems related with generalized Fourier series
Modeling the Mechanics of Aneurysm Development and Rupture Computational Simulation of Aneurysm Evolution, Growth and Rupture
Singular Integral Operators on C1 Manifolds and C1 Curvilinear Polygons
Towards a unified theory of Sobolev inequalities
Transference of fractional Laplacian regularity
Local sharp maximal functions
Weighted norm estimates for singular integrals with L log L kernels; Regularity of weak solutions of some degenerate quasilinear equations
Preface (Constantine Georgakis)
Remembrances and Silhouettes
The Calderón brothers, a happy mathematical relation
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edited by Santosh Joshi, Michael Dorff, Indrajit Lahiri
出版情報: New Delhi : Springer India : Imprint: Birkhäuser, 2014
シリーズ名: Trends in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-81-322-2113-5
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Chapter 1. Boundary Behavior of Univalent Harmonic Mappings: A Survey of Recent Boundary Behavior Results of Univalent Harmonic Mappings
Chapter 2. Harmonic Univalent Mappings and Minimal Graphs
Chapter 3. Minimal Surfaces over the Slanted Half Planes, Vertical Strips and Single Slit
Chapter 4. A Survey on Special Classes of Bazilevic Functions and Related Function Classes
Chapter 5. Uniqueness of Entire Functions Sharing Certain Values with Derivatives
Chapter 6. Differential Superordinations and Sandwich-Type Results
Chapter 7. Starlikeness and Convexity of Certain Integral Transforms by using Duality Technique
Chapter 8. Enestrom–Kakeya Theorem and Some of Its Generalizations
Chapter 9. Starlikeness, Convexity and Close-to-Convexity of Harmonic Mappings
Chapter 10. On Generalized p-Valent Non-Bazilevic Type Functions
Chapter 11. Integral Mean Estimates for a Polynomial with Restricted Zeros
Chapter 12. Uniqueness Results for Meromorphic Functions Concerning Small Functions
Chapter 13. Maxima Polynomial Ranges for a Domain of Intersection of Two Circular Disks
Chapter 1. Boundary Behavior of Univalent Harmonic Mappings: A Survey of Recent Boundary Behavior Results of Univalent Harmonic Mappings
Chapter 2. Harmonic Univalent Mappings and Minimal Graphs
Chapter 3. Minimal Surfaces over the Slanted Half Planes, Vertical Strips and Single Slit