Functional analysis on the eve of the 21st century : in honor of the eightieth birthday of I.M. Gelfand

著者

書誌事項

Functional analysis on the eve of the 21st century : in honor of the eightieth birthday of I.M. Gelfand

Simon Gindikin, James Lepowsky, Robert L. Wilson, editors

（Progress in mathematics, v. 131-132）

Birkhäuser, c1995-c1996

  • : set : acid-free paper
  • : set
  • v. 1 : acid-free paper
  • v. 1
  • v. 2 : acid-free paper
  • v. 2

大学図書館所蔵 件 / 全84件

この図書・雑誌をさがす

注記

Includes bibliographical references

内容説明・目次

巻冊次

v. 1 : acid-free paper ISBN 9780817637552

内容説明

These two volumes contain eighteen invited papers by distinguished mathematicians in honor of the eightieth birthday of Israel M. Gelfand, one of the most remarkable mathematicians of our time. 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 shape our understanding of the term 'functional analysis'. The papers in these volumes largely concern areas in which Gelfand has a very strong interest today, including geometric quantum field theory, representation theory, combinatorial structures underlying various 'continuous' constructions, quantum groups and geometry.

目次

Connection Formulas in the q-analog de Rham Cohomology.- Lagrangian Models of Minimal Representations of E6,E7 and E8.- Trigonometric Solutions of the Yang-Baxter Equation, Nets, and Hypergeometric Functions.- Analogies between the Langlands Correspondence and Topological Quantum Field Theory.- "Forms" of the Principal Series for GLn.- Geometry of Determinants of Elliptic Operators.- Quantum Groups at v = ?.- The Symplectic Operad.- Quadratic Unipotent Representations of p-adic Groups.- On the Master Field in Two Dimensions.- Physical Methods Applied to Donaldson Theory.
巻冊次

v. 2 : acid-free paper ISBN 9780817638559

内容説明

These two volumes contain eighteen invited papers by distinguished mathematicians in honor of the eightieth birthday of Israel M. Gelfand, one of the most remarkable mathematicians of our time. 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 shape our understanding of the term 'functional analysis'. The papers in these volumes largely concern areas in which Gelfand has a very strong interest today, including geometric quantum field theory, representation theory, combinatorial structures underlying various 'continuous' constructions, quantum groups and geometry.

目次

Positive Curvature, Macroscopic Dimension, Spectral Gaps, and Higher Signatures.- Geometric Construction of Polylogarithms, II.- A Note on Localization and the Riemann-Roch Formula.- A Note on ODEs from Mirror Symmetry.
巻冊次

: set : acid-free paper ISBN 9780817638603

内容説明

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.

目次

Volume I.- Connection Formulas in the q-analog de Rham Cohomology.- Lagrangian Models of Minimal Representations of E6, E7 and E8.- Trigonometric Solutions of the Yang-Baxter Equation, Nets, and Hypergeometric Functions.- Analogies between the Langlands Correspondence and Topological Quantum Field Theory.- "Forms" of the Principal Series for GLn.- Geometry of Determinants of Elliptic Operators.- Quantum Groups at v = ?.- The Symplectic Operad.- Quadratic Unipotent Representations of p-adic Groups.- On the Master Field in Two Dimensions.- Physical Methods Applied to Donaldson Theory.
巻冊次

v. 1 ISBN 9783764337551

内容説明

This is Volume 1 of a two-volume set which contains 18 invited papers in honour of the 80th birthday of mathematician Israel M. Gelfand, who is considered to have played an important role in the development of functional analysis in the latter half of the 20th century. The papers cover areas in which Gelfand has a strong interest, including geometric quantum field theory, representation theory, combinatorial structures underlying various "continuous" constructions, quantum groups and geometry.
巻冊次

v. 2 ISBN 9783764338558

内容説明

This is Volume 2 of a two-volume set which contains 18 invited papers in honour of the 80th birthday of mathematician Israel M. Gelfand, who is considered to have played an important role in the development of functional analysis in the latter half of the 20th century. The papers cover areas in which Gelfand has a strong interest, including geometric quantum field theory, representation theory, combinatorial structures underlying various "continuous" constructions, quantum groups and geometry. This second volume contains the more "geometric" papers.
巻冊次

: set ISBN 9783764338602

内容説明

These two volumes contain 18 invited papers in honour of the 80th birthday of mathematician Israel M. Gelfand, who is considered to have played an important role in the development of functional analysis in the latter half of the 20th century. The papers cover areas in which Gelfand has a strong interest, including geometric quantum field theory, representation theory, combinatorial structures underlying various "continuous" constructions, quantum groups and geometry. The second volume contains the more "geometric" papers.

「Nielsen BookData」 より

関連文献： 1件中  1-1を表示

詳細情報

ページトップへ