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Geometric Aspects of Functional Analysis

Israel Seminar 2006–2010

  • Book
  • © 2012

Overview

Editors:
  1. Bo'az Klartag

    1. Tel-Aviv, Israel

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  2. Shahar Mendelson

    1. Technion Machine Learning Center, Technion, Israel Institute of Technology, Technion City, Haifa, Israel

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  3. Vitali D. Milman

    1. Fac. Exact Sciences, School of Mathematical Sciences, University of Tel Aviv, Tel Aviv, Israel

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 2050)

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Table of contents (25 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. The α-Cosine Transform and Intertwining Integrals on Real Grassmannians

    • Semyon Alesker
    Pages 1-21

  3. On Modules Over Valuations

    • Semyon Alesker
    Pages 23-34

  4. On Multiplicative Maps of Continuous and Smooth Functions

    • Shiri Artstein-Avidan, Dmitry Faifman, Vitali Milman
    Pages 35-59

  5. Order Isomorphisms on Convex Functions in Windows

    • Shiri Artstein-Avidan, Dan Florentin, Vitali Milman
    Pages 61-122

  6. Finite Transitive Graph Embeddings into a Hyperbolic Metric Space Must Stretch or Squeeze

    • Itai Benjamini, Oded Schramm
    Pages 123-126

  7. Tightness of Fluctuations of First Passage Percolation on Some Large Graphs

    • Itai Benjamini, Ofer Zeitouni
    Pages 127-132

  8. Finitely Supported Measures on \(S{L}_{2}(\mathbb{R})\) Which are Absolutely Continuous at Infinity

    • Jean Bourgain
    Pages 133-141

  9. Moebius Schrödinger

    • Jean Bourgain
    Pages 143-150

  10. Interpolations, Convexity and Geometric Inequalities

    • Dario Cordero-Erausquin, Bo’az Klartag
    Pages 151-168

  11. Hypercontractive Measures, Talagrand’s Inequality, and Influences

    • Dario Cordero-Erausquin, Michel Ledoux
    Pages 169-189

  12. A Family of Unitary Operators Satisfying a Poisson-Type Summation Formula

    • Dmitry Faifman
    Pages 191-204

  13. Stability of Order Preserving Transforms

    • Dan Florentin, Alexander Segal
    Pages 205-225

  14. On the Distribution of the ψ2-Norm of Linear Functionals on Isotropic Convex Bodies

    • Apostolos Giannopoulos, Grigoris Paouris, Petros Valettas
    Pages 227-253

  15. A Remark on Vertex Index of the Convex Bodies

    • Efim D. Gluskin, Alexander E. Litvak
    Pages 255-265

  16. Inner Regularization of Log-Concave Measures and Small-Ball Estimates

    • Bo’az Klartag, Emanuel Milman
    Pages 267-278

  17. An Operator Equation Generalizing the Leibniz Rule for the Second Derivative

    • Hermann König, Vitali Milman
    Pages 279-299

  18. Moments of Unconditional Logarithmically Concave Vectors

    • Rafał Latała
    Pages 301-315

  19. Projections of Probability Distributions: A Measure-Theoretic Dvoretzky Theorem

    • Elizabeth Meckes
    Pages 317-326

  20. On a Loomis–Whitney Type Inequality for Permutationally Invariant Unconditional Convex Bodies

    • Piotr Nayar, Tomasz Tkocz
    Pages 327-333
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Keywords

About this book

This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the general trends of Asymptotic Geometric Analysis, understood in a broad sense, and are a source of inspiration for new research. Most of the papers deal with various aspects of the theory, including classical topics in the geometry of convex bodies, inequalities involving volumes of such bodies or more generally, logarithmically-concave measures, valuation theory, probabilistic and isoperimetric problems in the combinatorial setting, volume distribution on high-dimensional spaces and characterization of classical constructions in Geometry and Analysis (like the Legendre and Fourier transforms, derivation and others). All the papers here are original research papers.

Editors and Affiliations

  • Tel-Aviv, Israel

    Bo'az Klartag

  • Technion Machine Learning Center, Technion, Israel Institute of Technology, Technion City, Haifa, Israel

    Shahar Mendelson

  • Fac. Exact Sciences, School of Mathematical Sciences, University of Tel Aviv, Tel Aviv, Israel

    Vitali D. Milman

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