Harmonic Analysis and Convexity / / ed. by Alexander Koldobsky, Alexander Volberg.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1
• MitwirkendeR: Agranovsky, Mark,; Alfonseca, M. Angeles,; Bianchi, Gabriele,; Boman, Jan,; Böröczky, Károly J.,; Domelevo, Komla,; Fradelizi, Matthieu,; Giannopoulos, Apostolos,; Holmes Fay, Irina,; Koldobsky, Alexander,; Meyer, Mathieu,; Nayar, Piotr,; Nazarov, Fedor,; Negro, Giuseppe,; Petermichl, Stefanie,; Ryabogin, Dmitry,; Schütt, Carsten,; Silva, Diogo Oliveira e,; Thiele, Christoph,; Tkocz, Tomasz,; Vassiliev, Victor,; Volberg, Alexander,; Werner, Elisabeth M.,; Yaskin, Vladyslav,; Zvavitch, Artem,
• HerausgeberIn: Koldobsky, Alexander,; Volberg, Alexander,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2023]; ©2023
• Year of Publication: 2023
• Language: English
• Series: Advances in Analysis and Geometry , 9
• Physical Description: 1 online resource (VI, 474 p.)

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 Comput...

Table of Contents

• Frontmatter
• Contents
• Algebraically integrable bodies and related properties of the Radon transform
• The covariogram problem
• The logarithmic Minkowski conjecture and the Lp-Minkowski problem
• Bellman functions and continuous time
• Volume product
• Inequalities for sections and projections of convex bodies
• Borderline estimates for weighted singular operators and concavity
• Extremal sections and projections of certain convex bodies: a survey
• When does e−/τ/ maximize Fourier extension for a conic section?
• Affine surface area
• Analysis and geometry near the unit ball: proofs, counterexamples, and open questions
• Index