Harmonic Analysis and Convexity
eBook - ePub

Harmonic Analysis and Convexity

  1. 480 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Harmonic Analysis and Convexity

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.

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Information

Publisher
De Gruyter
Year
2023
eBook ISBN
9783110775433
Edition
1
Topic
Mathematics
Subtopic
Analytic Geometry
Index
Mathematics

Table of contents

  1. Title Page
  2. Copyright
  3. Contents
  4. Algebraically integrable bodies and related properties of the Radon transform
  5. The covariogram problem
  6. The logarithmic Minkowski conjecture and the Lp-Minkowski problem
  7. Bellman functions and continuous time
  8. Volume product
  9. Inequalities for sections and projections of convex bodies
  10. Borderline estimates for weighted singular operators and concavity
  11. Extremal sections and projections of certain convex bodies: a survey
  12. When does e−|τ| maximize Fourier extension for a conic section?
  13. Affine surface area
  14. Analysis and geometry near the unit ball: proofs, counterexamples, and open questions
  15. Subject Index

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Yes, you can access Harmonic Analysis and Convexity by Alexander Koldobsky, Alexander Volberg, Alexander Koldobsky,Alexander Volberg in PDF and/or ePUB format, as well as other popular books in Mathematics & Analytic Geometry. We have over one million books available in our catalogue for you to explore.