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1.

電子ブック

EB
by Michael Th. Rassias
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
オンライン: http://dx.doi.org/10.1007/978-1-4419-0495-9
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2.

電子ブック

EB
by Sotirios E. Louridas, Michael Th. Rassias
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-1-4614-7273-5
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目次情報: 続きを見る
Foreword
Preface
Basic Concepts and Theorems of Euclidean Geometry
Methods of Analysis, Synthesis, Construction and Proof.-Geometrical Constructions
Geometrical Loci
Problems of Olympiad Caliber
Solutions of the Problems
Bibliography
Index
Foreword
Preface
Basic Concepts and Theorems of Euclidean Geometry
3.

電子ブック

EB
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)
4.

電子ブック

EB
edited by Andrei Raigorodskii, Michael Th. Rassias
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-030-37904-9
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On a category of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis
Recent Progress in the study of polynomials with constrained coefficients
Classes of Nonnegative Sine
Inequalities for weighted trigonometric sums
Norm Inequalities for Generalized Laplace Transforms
On Marcinkiewicz-Zygmund Inequalities at Hermite Zeros and their Airy Function Cousins
The maximum of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis
Double-sided Taylor's approximations and their applications in theory of trigonometric inequalities
The second moment of the first derivative of Hardy's Z-function
Dedekind and Hardy Type Sums and Trigonometric Sums Induced by Quadrature Formulas
On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Kernel of Hyperbolic Secant Function Related to the Hurwitz Zeta Function
A remark on sets with small Wiener norm
Order estimates of best orthogonal trigonometric approximations of classes of infinitely differentiable functions
Equivalent Conditions of a Reverse Hilbert-Type Integral Inequality with the Kernel of Hyperbolic Cotangent Function Related to the Riemann zeta Function
On a category of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis
Recent Progress in the study of polynomials with constrained coefficients
Classes of Nonnegative Sine
5.

電子ブック

EB
edited by Andrei M. Raigorodskii, Michael Th. Rassias
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Springer Optimization and Its Applications ; 165
オンライン: https://doi.org/10.1007/978-3-030-55857-4
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Automatic sequences are also non-uniformly morphic (Allouche)
Combinatorial Identities and Inequalities for Trigonometric Sums (Alzer)
The number of partitions of a set and superelliptic Diophantine equations (Andrica)
The exponent of a group: properties, computations and applications (Andrica)
Hankel Tournaments and Special Oriented Graphs (Brualdi)
The game chromatic number of a random hypergraph (Chakraborti)
Perfect Hash Families: The Generalization to Higher Indices (Dougherty)
A note on randomly colored matchings in random bipartite graphs (Funkhouser)
Exponential variational integrators using constant or adaptive time step (Kostochka)
A new embedding of the 3x + 1 dynamical system (Leventides)
Diffusion on dynamical interbank loan networks (Leventides)
The dynamics of interbank networks (Leventides)
Prime avoidance property of k-th powers of prime numbers with Beatty sequences (Maier)
A survey of hypergraph Ramsey problems (Mubayi)
Factorization Method for Solving Multipoint Problems for Second Order Difference Equations with Polynomial Coefficients (Parasidis)
New Construction Machines of Generating Fuzzy Implications (Rapti)
Tree containment and degree conditions (Stein)
Extremal singular graphs (Triantafillou)
Automatic sequences are also non-uniformly morphic (Allouche)
Combinatorial Identities and Inequalities for Trigonometric Sums (Alzer)
The number of partitions of a set and superelliptic Diophantine equations (Andrica)
6.

電子ブック

EB
edited by Daniel Breaz, Michael Th. Rassias
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-030-40120-7
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A Theory on Non-Constant Frequency Decompositions and Applications (Chen)
One-component inner functions II (Cima)
Biholomorphic Cryptosystems (Daras)
Third order fermionic and fourth order bosonic operators (Ding)
Holomorphic approximation: the legacy of Weierstrass, Runge, Oka-Weil, and Mergelyan (Fornæss)
A Potapov-type approach to a truncated matricial Stieltjes-type power moment problem (Fritzsche)
Formulas and inequalities for some special functions of a complex variable (Grinshpan)
On the means of the non-trivial zeros of the Riemann zeta function (Hassani)
Minimal kernels and compact analytic objects in complex surfaces(Mongodi)
On the automorphic group of an entire function (Peretz)
Integral representations in Complex Analysis: From classical results to recent developments (Range)
On the Riemann zeta function and Gaussian multiplicative chaos (Saksman)
Some new aspects in hypercomplex analysis (Sprößig)
Some connections of complex dynamics (De Zotti)
A Theory on Non-Constant Frequency Decompositions and Applications (Chen)
One-component inner functions II (Cima)
Biholomorphic Cryptosystems (Daras)
7.

電子ブック

EB
edited by Nalini Anantharaman, Ashkan Nikeghbali, Michael Th. Rassias
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-030-56409-4
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Monochromatic Random Waves for general Riemannian manifolds (Canzani)
A Brief Review of the “ETH- Approach to Quantum Mechanics” (Fröhlich)
Linear and non-linear harmonic boundaries of graphs; an approach with ℓp-cohomology in degree one (Gournay)
Polyharmonic functions for finite graphs and Markov chains (Hirschler)
Interacting electrons in a random medium: a simple one-dimensional model (Klopp)
Entropies for negatively curved manifolds (Ledrappie)- Two-dimensional quantum Yang-Mills theory and the Makeenko-Migdal equations (Lévy)
Limit operators for circular ensembles (Maples)
Gibbs measures of nonlinear Schrödinger equations as limits of quantum many-body states in dimension d ≤ 3 (Sohinger)
Interfaces in spectral asymptotics and nodal sets (Zelditch)
Monochromatic Random Waves for general Riemannian manifolds (Canzani)
A Brief Review of the “ETH- Approach to Quantum Mechanics” (Fröhlich)
Linear and non-linear harmonic boundaries of graphs; an approach with ℓp-cohomology in degree one (Gournay)
8.

電子ブック

EB
edited by Michael Th. Rassias
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Springer Optimization and Its Applications ; 168
オンライン: https://doi.org/10.1007/978-3-030-61887-2
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Sampling and Approximation in Shift Invariant subspaces of L2(ℝ) (Atreas)
Optimal ℓ1 rank one matrix decomposition (Balan)
An arithmetical function related to Báez-Duarte’s criterion for the Riemann hypothesis (Balazard)
Large Sets Avoiding Rough Patterns (Zahl)
PDE methods in Random Matrix Theory (Hall)
Structure and optimisation in computational harmonic analysis – On key aspects in sparse regularisation (Hansen)
Reflections on a Theorem of Boas and Pollard (Heil)
The Andoni-Krauthgamer-Razenshteyn characterization of sketchable norms fails for sketchable metrics (Noar)
Degree of convergence of some operators ^ 1 (Mohapatra)
Real variable methods in harmonic analysis and Navier–Stokes equations (Lemarié-Rieusset)
Explore intrinsic geometry of sleep dynamics and predict sleep stage by unsupervised learning techniques (Wu)
Harmonic functions in slabs and half-spaces (Madych)
Sampling and Approximation in Shift Invariant subspaces of L2(ℝ) (Atreas)
Optimal ℓ1 rank one matrix decomposition (Balan)
An arithmetical function related to Báez-Duarte’s criterion for the Riemann hypothesis (Balazard)
9.

電子ブック

EB
by Vijay Gupta, Michael Th. Rassias
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-85563-5
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目次情報:
1. Exponential Type Operators
2. Modifications of Certain Operators
3. Difference Between Operators
1. Exponential Type Operators
2. Modifications of Certain Operators
3. Difference Between Operators
10.

電子ブック

EB
edited by Artur Avila, Michael Th. Rassias, Yakov Sinai
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
オンライン: https://doi.org/10.1007/978-3-031-05331-3
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On the joint spectral radius (E. Breuillard)
The failure of the fractal uncertainty principle for the Walsh-Fourier transform (C. Demeter)
The continuous formulation of shallow neural networks as Wasserstein-type gradient flows (X. Fernández-Real)
On the Origins, Nature and Impact of Bourgain's Discretized Sum-Product Theorem (A. Gamburd)
Cartan Covers and Doubling Bernstein Type Inequalities on Analytic Subsets of C2 (M. Goldstein)
A Weighted Prekopa-Leindler inequality and sumsets with quasicubes (B. Green)
Equidistribution of affine random walks on some nilmanifolds (E. Lindenstrauss)
Logarithmic quantum dynamical bounds for arithmetically defined ergodic Schrodinger operators with smooth potentials (S. Jitomirskaya)
The slicing problem by Bourgain (B. Klartag)
On the work of Jean Bourgain in nonlinear dispersive equations (E. Kenig)
On Trace sets of restricted continued fraction semigroups (A. Kontorovich)
Polynomial Equations in Subgroups and Applications (V. Konyagin)
Exponential sums, twisted multiplicativity and moments (E. Kowalski)
The ternary Goldbach problem with a missing digit and other primes of special types (Th. Rassias)
A note on harmonious sets (Y. Franc cois Meyer)
On the multiplicative group generated by two primes in Z/QZ (P. Varju)
On the joint spectral radius (E. Breuillard)
The failure of the fractal uncertainty principle for the Walsh-Fourier transform (C. Demeter)
The continuous formulation of shallow neural networks as Wasserstein-type gradient flows (X. Fernández-Real)