Lecture Notes in Mathematics

Geometric Aspects of Functional Analysis

Israel Seminar 2006–2010

Editors: Klartag, Bo'az, Mendelson, Shahar, Milman, Vitali D. (Eds.)

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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.

Table of contents (25 chapters)

  • The α-Cosine Transform and Intertwining Integrals on Real Grassmannians

    Alesker, Semyon

    Pages 1-21

  • On Modules Over Valuations

    Alesker, Semyon

    Pages 23-34

  • On Multiplicative Maps of Continuous and Smooth Functions

    Artstein-Avidan, Shiri (et al.)

    Pages 35-59

  • Order Isomorphisms on Convex Functions in Windows

    Artstein-Avidan, Shiri (et al.)

    Pages 61-122

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

    Benjamini, Itai (et al.)

    Pages 123-126

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-642-29849-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.95
price for USA
  • ISBN 978-3-642-29848-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Aspects of Functional Analysis
Book Subtitle
Israel Seminar 2006–2010
Editors
  • Bo'az Klartag
  • Shahar Mendelson
  • Vitali D. Milman
Series Title
Lecture Notes in Mathematics
Series Volume
2050
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-29849-3
DOI
10.1007/978-3-642-29849-3
Softcover ISBN
978-3-642-29848-6
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VIII, 449
Number of Illustrations and Tables
3 b/w illustrations
Topics