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Collected Papers III

  • Book
  • © 1989

Overview

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

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Keywords

  • integral geometry
  • Grassmann manifolds
  • cohomology
  • Lie groups
  • Lie algebra
  • characteristic classes
  • functional spaces
  • quantum physics
  • cybernetics
  • cerebellum
  • spinal interneurons
  • hypergeometric functions

About this book

I.M.Gelfand, one of the 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. With the publication of these Collected Papers in three volumes Gelfand gives a representative choice of his papers written in the last fifty years. Gelfand's research led to the development of remarkable mathematical theories - most 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 Collected Papers. Some articles on numerical methods and cybernetics as well as a few on biology are included. A substantial part of the papers have been translated into English especially for this edition. This edition is rounded off by a preface by S.G.Gindikin, a contribution by V.I.Arnold and an extensive bibliography with almost 500 references. Gelfand's Collected Papers will provide stimulating and serendipitous reading for researchers in a multitude of mathematical disciplines.

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

  • Cambridge, USA

    Shlomo Sternberg

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

    Israel M. Gelfand

Bibliographic Information

  • Book Title: Collected Papers III

  • Authors: Israel M. Gelfand

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

  • Series Title: Springer Collected Works in Mathematics

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1989

  • Softcover ISBN: 978-3-642-30813-0Published: 05 October 2016

  • Series ISSN: 2194-9875

  • Series E-ISSN: 2194-9883

  • Edition Number: 1

  • Number of Pages: XIV, 1075

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