by Vladimir I. Arnold ; edited by Alexander B. Givental, Boris A. Khesin, Jerrold E. Marsden, Alexander N. Varchenko, Victor A. Vassiliev, Oleg Ya. Viro, Vladimir M. Zakalyukin
出版情報:
Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
Contributions by N. Bez, M. Sugimoto, Tang Bao Ngoc Bui, M. Reissig, F. Colombini, D. Del Santo, F. Fanelli, G. Metivier, E. Cordero, F. Nicola, L. Rodino, S. Coriasco, K. Johansson, J. Toft, V. Fischer, M. Ruzhansky, G. Garello, A. Morando, D. Grieser, E. Hunsicker, N. Habal, W. Rungrottheera, B
W. Schulze, C. Iwasaki, B. Kanguzhin, N. Tokmagambetov, S. Katayama, H. Kubo, M. Lassas, T. Zhou, T. Matsuyama, T. Nishitani, S. Serovajsky, K. Shakenov, S. Tikhonov, M. Zeltser, Y. Wakasugi, K. Yagdjian.
Preface
Contributions by N. Bez, M. Sugimoto, Tang Bao Ngoc Bui, M. Reissig, F. Colombini, D. Del Santo, F. Fanelli, G. Metivier, E. Cordero, F. Nicola, L. Rodino, S. Coriasco, K. Johansson, J. Toft, V. Fischer, M. Ruzhansky, G. Garello, A. Morando, D. Grieser, E. Hunsicker, N. Habal, W. Rungrottheera, B
W. Schulze, C. Iwasaki, B. Kanguzhin, N. Tokmagambetov, S. Katayama, H. Kubo, M. Lassas, T. Zhou, T. Matsuyama, T. Nishitani, S. Serovajsky, K. Shakenov, S. Tikhonov, M. Zeltser, Y. Wakasugi, K. Yagdjian.
Simple Proofs of Some Bernstein–Mordell Type Inequalities (V. Adiyasuren, Tserendorj Batbold)
Hilbert-Type Inequalities Including Some Operators, The Best Possible Constants and Applications: A survey (V. Adiyasuren, Tserendorj Batbold, M. Krnić)
On the Mazur–Ulam Theorem (M. Aghajani)
A Fixed Point Approach to Stability of the Quadratic Equation (M. Almahalebi, A. Charifi, S. Kabbaj, E. Elqorachi)
Aspects of Global Analysis of Circle-Valued Mappings (D. Andrica, D. Mangra, C. Pintea)
A Remark on Some Simultaneous Functional Inequalities in Riesz Spaces (B. Batko, J. Brzdęk)
Elliptic Problems on the Sierpinski Gasket (B.E. Breckner, C. Varga)
Initial Value Problems in Linear Integral Operator Equations (L.P. Castro, M.M. Rodrigues, S. Saitoh)
Extension Operators that Preserve Geometric and Analytic Properties of Biholomorphic Mappings (T. Chirilă)
Normal Cones and Thompson Metric (Ş. Cobzaş, M.-D. Rus)
Functional Operators and Approximate Solutions of Functional Equations (S. Czerwik, K. Król)
Markov-Type Inequalities with Applications in Multivariate Approximation Theory (N.J. Daras)
The Number of Prime Factors Function on Shifted Primes and Normal Numbers (J.-M. De Koninck, I. Kátai)
Imbedding Inequalities for Composition of Green's and Potential Operators (S. Ding, Y. Xing)
On Approximation Properties of q-King Operators (Z. Finta)
Certain Szász-Mirakyan-Beta Operators (N.K. Govil, V. Gupta, D. Soybaş)
Extremal Problems and g-Loewner Chains in Cn and Reflexive Complex Banach Spaces (I. Graham, H. Hamada, G. Kohr)
Different Durrmeyer Variants of Baskakov Operators (V. Gupta)
Hypergeometric Representation of Certain Summation-Integral Operators (V. Gupta, T.M. Rassias)
On a Hybrid Fourth Moment Involving the Riemann Zeta-Function (A. Ivić, W. Zhai)
On the Invertibility of Some Elliptic Operators on Manifolds with Boundary and Cylindrical Ends (M. Kohr, C. Pintea)
Meaned Spaces and a General Duality Principle (J. Kolumbán, J.J. Kolumbán)
An AQCQ-Functional Equation in Matrix Random Normed Spaces (J.R. Lee, C. Park, T.M. Rassias)
A Planar Location-Allocation Problem with Waiting Time Costs (L. Mallozzi, E. D'Amato, E. Daniele)
The Stability of an Affine Type Functional Equation with the Fixed Point Alternative (M. Mursaleen, K.J. Ansari)
On Some Integral Operators (K.I. Noor)
Integer Points in Large Bodies (W.G. Nowak)
On the Orderability Problem and the Interval Topology (K. Papadopoulos)
A Class of Functional-Integral Equations with Applications to a Bilocal Problem (A. Petrusel, I.A. Rus)
Hyperbolic Wavelets (F. Schipp)
One Hundred Years Uniform Distribution Modulo One and Recent Applications to Riemann's Zeta-Function (J. Steuding)
On the Energy of Graphs (I. Triantafillou)
Implicit Contractive Maps in Ordered Metric Spaces (M. Turinici)
Higher Dimensional Continuous Wavelet Transform in Wiener Amalgam (F. Weisz)
Multidimensional Hilbert-Type Integral Inequalities and Their Operators (B. Yang)
Simple Proofs of Some Bernstein–Mordell Type Inequalities (V. Adiyasuren, Tserendorj Batbold)
Hilbert-Type Inequalities Including Some Operators, The Best Possible Constants and Applications: A survey (V. Adiyasuren, Tserendorj Batbold, M. Krnić)
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