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,
• 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.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110775389; 9783111175782; 9783111319292; 9783111318912; 9783111319209; 9783111318608
• ISSN: 2511-0438
• DOI: 10.1515/9783110775389
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: ed. by Alexander Koldobsky, Alexander Volberg.

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.