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Lecture Notes in Mathematics

Geometric Aspects of Functional Analysis

Israel Seminar (GAFA) 2014–2016

Editors: Klartag, Bo'az, Milman, Emanuel (Eds.)

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  • ISBN 978-3-319-45282-1
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About this book

As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. A classical theme in the Local Theory of Banach Spaces which is well represented in this volume is the identification of lower-dimensional structures in high-dimensional objects. More recent applications of high-dimensionality are manifested by contributions in Random Matrix Theory, Concentration of Measure and Empirical Processes. Naturally, the Gaussian measure plays a central role in many of these topics, and is also studied in this volume; in particular, the recent breakthrough proof of the Gaussian Correlation Conjecture is revisited. The interplay of the theory with Harmonic and Spectral Analysis is also well apparent in several contributions. The classical relation to both the primal and dual Brunn-Minkowski theories is also well represented, and related algebraic structures pertaining to valuations and valent functions are discussed. All contributions are original research papers and were subject to the usual refereeing standards.

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Table of contents (22 chapters)

  • On Repeated Sequential Closures of Constructible Functions in Valuations

    Alesker, Semyon

    Pages 1-14

  • Orbit Point of View on Some Results of Asymptotic Theory; Orbit Type and Cotype

    Ben-Efraim, Limor (et al.)

    Pages 15-23

  • Concentration Properties of Restricted Measures with Applications to Non-Lipschitz Functions

    Bobkov, Sergey G. (et al.)

    Pages 25-53

  • On Random Walks in Large Compact Lie Groups

    Bourgain, Jean

    Pages 55-63

  • On a Problem of Farrell and Vershynin in Random Matrix Theory

    Bourgain, Jean

    Pages 65-69

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-45282-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA
  • ISBN 978-3-319-45281-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Aspects of Functional Analysis
Book Subtitle
Israel Seminar (GAFA) 2014–2016
Editors
  • Bo'az Klartag
  • Emanuel Milman
Series Title
Lecture Notes in Mathematics
Series Volume
2169
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-45282-1
DOI
10.1007/978-3-319-45282-1
Softcover ISBN
978-3-319-45281-4
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XII, 366
Number of Illustrations and Tables
2 b/w illustrations
Topics