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Collected Papers II

  • Book
  • © 1988

Overview

Authors:
  1. Israel M. Gelfand

    1. Department of Mathematics, Rutgers University, New Brunswick, USA

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Editors:
  1. S.G. Gindikin

    1. Rutgers State University of New Jersey Dept. Mathematics, New Brunswick, USA

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  2. Victor W. Guillemin

    1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, USA

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  3. Alexandr A. Kirillov

    1. Department of Mathematics, University of Pennsylvania, Philadelphia, USA

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  4. Bertram Kostant

    1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, USA

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  5. Shlomo Sternberg

    1. Department of Mathematics, Harvard University, Cambridge, USA

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Part of the book series: Springer Collected Works in Mathematics (SCWM)

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Keywords

  • bicompact groups
  • unitary representations
  • Lorentz group
  • Lie groups
  • unimodular groups
  • homogeneous spaces
  • enveloping algebra
  • representation theory

About this book

I.M. Gelfand (1913 - 2009), one of the world's leading contemporary mathematicians, largely determined the modern view of functional analysis with its numerous relations to other branches of mathematics, including mathematical physics, algebra, topology, differential geometry and analysis. In this three-volume Collected Papers Gelfand presents a representative sample of his work. Gelfand's research led to the development of remarkable mathematical theories - most of which are now classics - in the field of Banach algebras, infinite-dimensional representations of Lie groups, the inverse Sturm-Liouville problem, cohomology of infinite-dimensional Lie algebras, integral geometry, generalized functions and general hypergeometric functions. The corresponding papers form the major part of the collection. Some articles on numerical methods and cybernetics as well as a few on biology are also included. A substantial number of the papers have been translated into English especially for this edition. The collection is rounded off by an extensive bibliography with almost 500 references. Gelfand's Collected Papers will be a great stimulus, especially for the younger generation, and will provide a strong incentive to researchers.

Authors, Editors and Affiliations

  • Rutgers State University of New Jersey Dept. Mathematics, New Brunswick, USA

    S.G. Gindikin

  • Department of Mathematics, Massachusetts Institute of Technology, Cambridge, USA

    Victor W. Guillemin, Bertram Kostant

  • Department of Mathematics, University of Pennsylvania, Philadelphia, USA

    Alexandr A. Kirillov

  • Department of Mathematics, Harvard University, Cambridge, USA

    Shlomo Sternberg

  • Department of Mathematics, Rutgers University, New Brunswick, USA

    Israel M. Gelfand

Bibliographic Information

  • Book Title: Collected Papers II

  • Authors: Israel M. Gelfand

  • Editors: S.G. Gindikin, Victor W. Guillemin, Alexandr A. Kirillov, Bertram Kostant, Shlomo Sternberg

  • Series Title: Springer Collected Works in Mathematics

  • Publisher: Springer Berlin, Heidelberg

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-3-662-48720-4Published: 16 December 2015

  • Series ISSN: 2194-9875

  • Series E-ISSN: 2194-9883

  • Edition Number: 1

  • Number of Pages: XIV, 1039

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