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Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Ranee Brylinski, Bertram Kostant
    Pages 13-63
  3. David Kazhdan
    Pages 153-171
  4. Maxim Kontsevich, Simeon Vishik
    Pages 173-197
  5. George Lusztig
    Pages 199-221
  6. Olivier Mathieu
    Pages 223-243
  7. I. M. Singer
    Pages 263-281
  8. Edward Witten
    Pages 283-292
  9. Back Matter
    Pages 293-296

About this book

Introduction

A four-day conference, "Functional Analysis on the Eve of the Twenty­ First Century," was held at Rutgers University, New Brunswick, New Jersey, from October 24 to 27, 1993, in honor of the eightieth birthday of Professor Israel Moiseyevich Gelfand. He was born in Krasnye Okna, near Odessa, on September 2, 1913. Israel Gelfand has played a crucial role in the development of functional analysis during the last half-century. His work and his philosophy have in fact helped to shape our understanding of the term "functional analysis" itself, as has the celebrated journal Functional Analysis and Its Applications, which he edited for many years. Functional analysis appeared at the beginning of the century in the classic papers of Hilbert on integral operators. Its crucial aspect was the geometric interpretation of families of functions as infinite-dimensional spaces, and of op­ erators (particularly differential and integral operators) as infinite-dimensional analogues of matrices, directly leading to the geometrization of spectral theory. This view of functional analysis as infinite-dimensional geometry organically included many facets of nineteenth-century classical analysis, such as power series, Fourier series and integrals, and other integral transforms.

Keywords

Geometric Quantum Field Theory Representation Theory calculus functional analysis geometry integral transform linear optimization operator

Editors and affiliations

  • Simon Gindikin
    • 1
  • James Lepowsky
    • 1
  • Robert L. Wilson
    • 1
  1. 1.Department of MathematicsRutgers UniversityNew BrunswickUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-2582-9
  • Copyright Information Birkhäuser Boston 1995
  • Publisher Name Birkhäuser Boston
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7590-9
  • Online ISBN 978-1-4612-2582-9
  • Series Print ISSN 0743-1643
  • Series Online ISSN 2296-505X
  • Buy this book on publisher's site