Recent advances in harmonic analysis and applications in honor of Konstantin Oskolkov /
"Recent Advances in Harmonic Analysis and Applications is dedicated to the 65th birthday of Konstantin Oskolkov and features contributions from analysts around the world. The volume contains expository articles by leading experts in their fields, as well as selected high quality research papers...
| Other Authors: | Bilyk, Dmitriy, 1979-, De Carli, Laura., Petukhov, Aleksandr., Oskolkov, Konstantin Ilyich, 1946-, SpringerLink (Online service) |
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| Format: | eBook |
| Language: | English |
| Published: |
New York :
Springer,
[2013]
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| Physical Description: |
1 online resource (xi, 405 pages) : illustrations, portrait. |
| Series: |
Springer proceedings in mathematics & statistics ;
v. 25. |
| Subjects: |
| Summary: |
"Recent Advances in Harmonic Analysis and Applications is dedicated to the 65th birthday of Konstantin Oskolkov and features contributions from analysts around the world. The volume contains expository articles by leading experts in their fields, as well as selected high quality research papers that explore new results and trends in classical and computational harmonic analysis, approximation theory, combinatorics, convex analysis, differential equations, functional analysis, Fourier analysis, graph theory, orthogonal polynomials, special functions, and trigonometric series. Numerous articles in the volume emphasize remarkable connections between harmonic analysis and other seemingly unrelated areas of mathematics, such as the interaction between abstract problems in additive number theory, Fourier analysis, and experimentally discovered optical phenomena in physics. Survey and research articles provide an up-to-date account of various vital directions of modern analysis and will in particular be of interest to young researchers who are just starting their career. This book will also be useful to experts in analysis, discrete mathematics, physics, signal processing, and other areas of science."--Publisher's website. |
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| Item Description: |
"This volume is dedicated to Konstantin Oskolkov's 65th birthday and is a celebration of his contributions to mathematical analysis. It grew out of the AMS Sectional Meeting held at Georgia Southern University, March 11-13, 2011. Many of the chapters appearing in this volume are close to Kostya's broad mathematical interests."--Preface. Includes bibliographical references. "Recent Advances in Harmonic Analysis and Applications is dedicated to the 65th birthday of Konstantin Oskolkov and features contributions from analysts around the world. The volume contains expository articles by leading experts in their fields, as well as selected high quality research papers that explore new results and trends in classical and computational harmonic analysis, approximation theory, combinatorics, convex analysis, differential equations, functional analysis, Fourier analysis, graph theory, orthogonal polynomials, special functions, and trigonometric series. Numerous articles in the volume emphasize remarkable connections between harmonic analysis and other seemingly unrelated areas of mathematics, such as the interaction between abstract problems in additive number theory, Fourier analysis, and experimentally discovered optical phenomena in physics. Survey and research articles provide an up-to-date account of various vital directions of modern analysis and will in particular be of interest to young researchers who are just starting their career. This book will also be useful to experts in analysis, discrete mathematics, physics, signal processing, and other areas of science."--Publisher's website. On the scientific work of Konstantin Ilyich Oskolkov / Dmitriy Bilyk, Laura De Carli, Alexander Petukhov, Alexander M. Stokolos, and Brett D. Wick -- K.I. Oskolkov / Magomed A. Chakhkiev -- My first meetings with Konstantin Oskolkov / Viktor I. Kolyada -- Meetings with Kostya Oskolkov / Veniamin G. Krotov -- Konstantin Ilyich Oskolkov, friend and colleague / Michael T. Lacey -- The activity of K.I. Oskolkov in nonlinear approximation of functions / Vitaly Maiorov -- How young we were / Vladimir Temlyakov -- A survey of multidimensional generalizations of Cantor's uniqueness theorem for trigonometric series / J. Marshall Ash -- The L₂ discrepancy of two-dimensional lattices / Dmitriy Bilyk, Vladimir N. Temlyakov, and Rui Yu -- On Fourier multipliers over tube domains / Laura De Carli -- Multiparameter projection theorems with applications to sums-products and finite point configurations in the Euclidean setting / Burk Erdoğan, Derrick Hart, and Alex Iosevich -- Riesz potentials, bessel potentials, and fractional derivatives on Besov-Lipschitz spaces for the Gaussian measure / A. Eduardo Gatto, Ebner Pineda, and Wilfredo O. Urbina -- Maximal operators associated to sets of directions of Hausdorff and Minkowski dimension zero / Paul Hagelstein -- Distance graphs in vector spaces over finite fields / Derrick Hart, Alex Iosevich, Doowon Koh, Steven Senger, and Ignacio Uriarte-Tuero -- Remarks on extremals in minimal support inequalities / Steven M. Hudson -- On Fubini type property in Lorentz spaces / Viktor I. Kolyada -- Some applications of equimeasurable rearrangements / Anatolii A. Korenovskii and Alexander M. Stokolos -- Maximal functions measuring smoothness / Veniamin G. Krotov -- Estimates for the exceptional Lebesgue sets of functions from Sobolev classes / Veniamin G. Krotov and Mikhail A. Prokhorovich -- On the A₂ inequality for Calderón-Zygmund operators / Michael T. Lacey -- Quest for negative dependency graphs / Linyuan Lu, Austin Mohr, and László Székely -- A quantitative open mapping theorem for quasi-pseudonormed groups / Irina Mitrea, Marius Mitrea, and Elia Ziadé -- The Buckley-Dyadic square function / Fedor Nazarov and Michael Wilson -- L[infinity]-bounds for the L₂-projection onton linear spline spaces / Peter Oswald -- Fast implementation of l¹-greedy algorithm / Alexander Petukhov and Inna Kozlov -- Harmonic analysis and uniqueness questions in convex geometry / Dmitry Ryabogin, Vlad Yaskin, and Artem Zvavitch -- Moduli of smoothness and rate of a.e. convergence for some convolution operators / Alexander M. Stokolos and Walter Trebels -- On the Littlewood-Paley inequalities for subharmonic functions on domains in R[superscript n] / Manfred Stoll -- The path to [lambda]-bounded variation / Daniel Waterman -- Stability and robustness of weak orthogonal matching pursuits / Simon Foucart. |
| Physical Description: |
1 online resource (xi, 405 pages) : illustrations, portrait. |
| Bibliography: |
Includes bibliographical references. |
| ISBN: |
9781461445654 1461445655 |