Geometric Aspects of Functional Analysis

Israel Seminar 2006–2010

  • Bo'az Klartag
  • Shahar Mendelson
  • Vitali D. Milman

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

Table of contents

  1. Front Matter
    Pages i-viii
  2. Semyon Alesker
    Pages 23-34
  3. Shiri Artstein-Avidan, Dmitry Faifman, Vitali Milman
    Pages 35-59
  4. Shiri Artstein-Avidan, Dan Florentin, Vitali Milman
    Pages 61-122
  5. Jean Bourgain
    Pages 143-150
  6. Dario Cordero-Erausquin, Bo’az Klartag
    Pages 151-168
  7. Dario Cordero-Erausquin, Michel Ledoux
    Pages 169-189
  8. Dan Florentin, Alexander Segal
    Pages 205-225
  9. Apostolos Giannopoulos, Grigoris Paouris, Petros Valettas
    Pages 227-253
  10. Efim D. Gluskin, Alexander E. Litvak
    Pages 255-265
  11. Bo’az Klartag, Emanuel Milman
    Pages 267-278

About this book

Introduction

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.

Keywords

80M35, 26A51, 32-XX, 46-XX, 60-XX Asymptotic Geometric Analysis Functional Analysis Geometric Inequalities Probability Theory

Editors and affiliations

  • Bo'az Klartag
    • 1
  • Shahar Mendelson
    • 2
  • Vitali D. Milman
    • 3
  1. 1.Tel-AvivIsrael
  2. 2.Technion Machine Learning CenterTechnion, Israel Institute of TechnologyTechnion City, HaifaIsrael
  3. 3.Fac. Exact Sciences, School of Mathematical SciencesUniversity of Tel AvivTel AvivIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-29849-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-29848-6
  • Online ISBN 978-3-642-29849-3
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book
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