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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.
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.
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)
"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)