Harmonic Analysis and Convexity

Harmonic Analysis and Convexity
Author: Alexander Koldobsky
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 480
Release: 2023-07-24
Genre: Mathematics
ISBN: 3110775387

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In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems. This collection is based on the topics discussed during the Research Semester on Harmonic Analysis and Convexity at the Institute for Computational and Experimental Research in Mathematics in Providence RI in Fall 2022. The volume brings together experts working in related fields to report on the status of major problems in the area including the isomorphic Busemann-Petty and slicing problems for arbitrary measures, extremal problems for Fourier extension and extremal problems for classical singular integrals of martingale type, among others.


Harmonic Analysis and Convexity
Language: en
Pages: 480
Authors: Alexander Koldobsky
Categories: Mathematics
Type: BOOK - Published: 2023-07-24 - Publisher: Walter de Gruyter GmbH & Co KG

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In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems.
Fourier Analysis and Convexity
Language: en
Pages: 268
Authors: Luca Brandolini
Categories: Mathematics
Type: BOOK - Published: 2011-04-27 - Publisher: Springer Science & Business Media

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Explores relationship between Fourier Analysis, convex geometry, and related areas; in the past, study of this relationship has led to important mathematical ad
Harmonic Analysis and Convexity
Language: en
Pages: 608
Authors: Alexander Koldobsky
Categories: Mathematics
Type: BOOK - Published: 2023-07-24 - Publisher: Walter de Gruyter GmbH & Co KG

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In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems.
Analytic Aspects of Convexity
Language: en
Pages: 125
Authors: Gabriele Bianchi
Categories: Mathematics
Type: BOOK - Published: 2018-02-28 - Publisher: Springer

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This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016. It offers a collection
Fourier Analysis in Convex Geometry
Language: en
Pages: 178
Authors: Alexander Koldobsky
Categories: Mathematics
Type: BOOK - Published: 2014-11-12 - Publisher: American Mathematical Soc.

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The study of the geometry of convex bodies based on information about sections and projections of these bodies has important applications in many areas of mathe