Editors:
- Features recent mathematical developments from leaders in the field
- Presents directions for future work in the subject
- Includes contributions on the unexpected and surprising interface between abstract problems in additive number theory and experimentally discovered optical phenomena in physics?
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 25)
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Table of contents (30 papers)
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Front Matter
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Konstantin Oskolkov
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Front Matter
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Contributed Papers
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Front Matter
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About this book
Recent Advances in Harmonic Analysis and Applications features selected contributions from the AMS conference which took place at Georgia Southern University, Statesboro in 2011 in honor of Professor Konstantin Oskolkov's 65th birthday. The contributions are based on two special sessions, namely "Harmonic Analysis and Applications" and "Sparse Data Representations and Applications." Topics covered range from Banach space geometry to classical harmonic analysis and partial differential equations. Survey and expository articles by leading experts in their corresponding fields are included, and the volume also features selected high quality papers exploring new results and trends in Muckenhoupt-Sawyer theory, orthogonal polynomials, trigonometric series, approximation theory, Bellman functions and applications in differential equations.
Graduate students and researchers in analysis will be particularly interested in the articles which emphasize remarkable connections between analysis and analytic number theory. The readers will learn about recent mathematical developments and directions for future work in the unexpected and surprising interaction between abstract problems in additive number theory and experimentally discovered optical phenomena in physics. This book will be useful for number theorists, harmonic analysts, algorithmists in multi-dimensional signal processing and experts in physics and partial differential equations.
Reviews
From the reviews:
“These are the proceedings of a conference held in honor of Konstantin Oskolkov at the Georgian Southern University March 11-13, 2011. … The main part of the book consists of 23 contributions from the conference. … the book will be a natural choice to be bought by a library having a section on analysis. It gives a nice survey of topics that are currently being investigated.” (A. Bultheel, The European Mathematical Society, December, 2012)Editors and Affiliations
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, Department of Mathematics, University of South Carolina, Columbia, USA
Dmitriy Bilyk
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University Park, Department of Mathematics, Florida International University, Miami, USA
Laura De Carli
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, Department of Mathematics, Universtity of Georgia, Athens, USA
Alexander Petukhov
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Georgia Southern University, Statesboro, USA
Alexander M. Stokolos
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, Department of Mathematics, Georgia Institute of Technology, Atlanta, USA
Brett D. Wick
Bibliographic Information
Book Title: Recent Advances in Harmonic Analysis and Applications
Book Subtitle: In Honor of Konstantin Oskolkov
Editors: Dmitriy Bilyk, Laura De Carli, Alexander Petukhov, Alexander M. Stokolos, Brett D. Wick
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-1-4614-4565-4
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2013
Hardcover ISBN: 978-1-4614-4564-7Published: 16 October 2012
Softcover ISBN: 978-1-4899-9346-5Published: 09 November 2014
eBook ISBN: 978-1-4614-4565-4Published: 16 October 2012
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XII, 408
Topics: Abstract Harmonic Analysis, Partial Differential Equations, Number Theory, Algorithms, Analysis