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Harmonic analysis and convexity / edited by Alexander Koldobsky and Alexander Volberg.
- Format:
- Book
- Series:
- Advances in analysis and geometry ; 2511-0543 v. 9.
- Advances in Analysis and Geometry Series, 2511-0543 ; Volume 9
- Language:
- English
- Subjects (All):
- Convex geometry.
- Harmonic analysis.
- Physical Description:
- 1 online resource (471 pages, 8 unnumbered pages) : illustrations
- Edition:
- 1st ed.
- Place of Publication:
- Berlin ; Boston : De Gruyter, [2023].
- Summary:
- "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."--Provided by publisher.
- Contents:
- Algebraically integrable bodies and related properties of the Radon transform / Mark Agranovsky, Jan Boman, Alexander Koldobsky, Victor Vassiliev, and Vladyslav Yaskin
- The covariogram problem / Gabriele Bianchi
- The logarithmic Minkowski conjecture and the Lp-Minkowski problem / Károly J. Böröczky
- Bellman functions and continuous time / Komla Domelevo and Stefanie Petermichl
- Volume product / Matthieu Fradelizi, Mathieu Meyer, and Artem Zvavitch
- Inequalities for sections and projections of convex bodies / Apostolos Giannopoulos, Alexander Koldobsky, and Artem Zvavitch
- Borderline estimates for weighted singular operators and concavity / Irina Holmes Fay and Alexander Volberg
- Extremal sections and projections of certain convex bodies: a survey / Piotr Nayar and Tomasz Tkocz
- When does e−|τ| maximize Fourier extension for a conic section? / Giuseppe Negro, Diogo Oliveira e Silva, and Christoph Thiele
- Affine surface area / Carsten Schütt and Elisabeth M. Werner
- Analysis and geometry near the unit ball: proofs, counterexamples, and open questions / M. Angeles Alfonseca, Fedor Nazarov, Dmitry Ryabogin, and Vladyslav Yaskin.
- Notes:
- Includes bibliographical references and index.
- Description based on online resource (viewed 26 March 2024), publisher supplied metadata and other sources.
- Description based on publisher supplied metadata and other sources.
- OCLC:
- 1390918463
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