Overview
- Editors:
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Simon Gindikin
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Department of Mathematics, Rutgers University, New Brunswick, USA
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James Lepowsky
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Department of Mathematics, Rutgers University, New Brunswick, USA
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Robert L. Wilson
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Department of Mathematics, Rutgers University, New Brunswick, USA
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Table of contents (11 chapters)
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Front Matter
Pages i-xxiii
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- Ranee Brylinski, Bertram Kostant
Pages 13-63
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- Igor B. Frenkel, Vladimir G. Turaev
Pages 65-118
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- Maxim Kontsevich, Simeon Vishik
Pages 173-197
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Back Matter
Pages 293-296
About this book
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, directlyleading 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.