Harmonic Analysis and Convexity

Published by De Gruyter 2023

Harmonic Analysis and Convexity

Edited by: Alexander Koldobsky and Alexander Volberg

Volume 9 in the series Advances in Analysis and Geometry

https://doi.org/10.1515/9783110775389

Overview
Contents

About this book

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.

The interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems. This book brings together experts in both areas, along with researchers working in related applied fields.

Author / Editor information

Alexander Koldobsky, University of Missouri, Colombia, USA; Alexander Volberg, Michigan State University, USA.

Topics

Frontmatter Publicly Available Download PDF	I
Contents Publicly Available Download PDF	V
Algebraically integrable bodies and related properties of the Radon transform Mark Agranovsky, Jan Boman, Alexander Koldobsky, Victor Vassiliev and Vladyslav Yaskin Requires Authentication Unlicensed Licensed Download PDF	1
The covariogram problem Gabriele Bianchi Requires Authentication Unlicensed Licensed Download PDF	37
The logarithmic Minkowski conjecture and the L_p-Minkowski problem Károly J. Böröczky Requires Authentication Unlicensed Licensed Download PDF	83
Bellman functions and continuous time Komla Domelevo and Stefanie Petermichl Requires Authentication Unlicensed Licensed Download PDF	119
Volume product Matthieu Fradelizi, Mathieu Meyer and Artem Zvavitch Requires Authentication Unlicensed Licensed Download PDF	163
Inequalities for sections and projections of convex bodies Apostolos Giannopoulos, Alexander Koldobsky and Artem Zvavitch Requires Authentication Unlicensed Licensed Download PDF	223
Borderline estimates for weighted singular operators and concavity Irina Holmes Fay and Alexander Volberg Requires Authentication Unlicensed Licensed Download PDF	257
Extremal sections and projections of certain convex bodies: a survey Piotr Nayar and Tomasz Tkocz Requires Authentication Unlicensed Licensed Download PDF	343
When does e^−/τ/ maximize Fourier extension for a conic section? Giuseppe Negro, Diogo Oliveira e Silva and Christoph Thiele Requires Authentication Unlicensed Licensed Download PDF	391
Affine surface area Carsten Schütt and Elisabeth M. Werner Requires Authentication Unlicensed Licensed Download PDF	427
Analysis and geometry near the unit ball: proofs, counterexamples, and open questions M. Angeles Alfonseca, Fedor Nazarov, Dmitry Ryabogin and Vladyslav Yaskin Requires Authentication Unlicensed Licensed Download PDF	445
Index Requires Authentication Unlicensed Licensed Download PDF	469

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Institutional libraries, academic researchers, and graduate students studying harmonic analysis and convex geometry.
Pages
- Front matter: 6
- Main content: 474
Illustrations
- Illustrations: 25
Keywords: harmonic analysis; convex geometry; geometric tomography; geometric properties; optimal algorithms

eBook

Published: July 24, 2023
ISBN: 9783110775389

Hardcover

Published: July 24, 2023
ISBN: 9783110775372