Recent advances in harmonic analysis and applications in honor of Konstantin Oskolkov Dmitriy Bilyk [and others], editors

Format:

Book

Contributor:

Bilyk, Dmitriy

De Carli, Laura

Petukhov, Aleksandr

Oskolkov, Konstantin Ilyich, 1946-

Series:

Springer proceedings in mathematics & statistics v. 25

Language:

English

Subjects (All):

Oskolkov, Konstantin Ilyich, 1946-.

Oskolkov, Konstantin Ilyich.

Harmonic analysis.

Mathematical Concepts.

Fourier Analysis.

Medical Subjects:

Mathematical Concepts.

Fourier Analysis.

Genre:

Festschriften

Physical Description:

1 online resource

Place of Publication:

New York Springer [2013]

System Details:

text file

PDF

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

Contents:

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

Notes:

"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

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Print version Recent advances in harmonic analysis and applications

ISBN:

9781461445654

1461445655

OCLC:

823383455

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