WorldCat Identities

Gelbart, Stephen S. 1946-

Overview
Works: 53 works in 222 publications in 3 languages and 3,872 library holdings
Genres: Conference proceedings 
Roles: Author, Editor, Honoree, Dedicatee
Classifications: QA3, 512.22
Publication Timeline
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Most widely held works about Stephen S Gelbart
 
Most widely held works by Stephen S Gelbart
Lectures on analysis by Gustave Choquet( Book )

6 editions published between 1969 and 1976 in English and held by 512 WorldCat member libraries worldwide

Automorphic forms on Adele groups by Stephen S Gelbart( Book )

19 editions published in 1975 in English and Undetermined and held by 470 WorldCat member libraries worldwide

Weil's representation and the spectrum of the metaplectic group by Stephen S Gelbart( Book )

18 editions published between 1976 and 2008 in English and German and held by 397 WorldCat member libraries worldwide

Explicit constructions of automorphic L-functions by Stephen S Gelbart( Book )

16 editions published in 1987 in English and German and held by 373 WorldCat member libraries worldwide

The goal of this research monograph is to derive the analytic continuation and functional equation of the L-functions attached by R.P. Langlands to automorphic representations of reductive algebraic groups. The first part of the book (by Piatetski-Shapiro and Rallis) deals with L-functions for the simple classical groups; the second part (by Gelbart and Piatetski-Shapiro) deals with non-simple groups of the form G GL(n), with G a quasi-split reductive group of split rank n. The method of proof is to construct certain explicit zeta-integrals of Rankin-Selberg type which interpolate the relevant Langlands L-functions and can be analyzed via the theory of Eisenstein series and intertwining operators. This is the first time such an approach has been applied to such general classes of groups. The flavor of the local theory is decidedly representation theoretic, and the work should be of interest to researchers in group representation theory as well as number theory
An introduction to the Langlands program by Daniel Bump( Book )

11 editions published between 2003 and 2004 in English and held by 318 WorldCat member libraries worldwide

For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics. The twelve chapters of this monograph present a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. Key features of this self-contained presentation: A variety of areas in number theory from the classical zeta function up to the Langlands program are covered. The exposition is systematic, with each chapter focusing on a particular topic devoted to special cases of the program: Basic zeta function of Riemann and its generalizations to Dirichlet and Hecke L-functions, class field theory and some topics on classical automorphic functions (E. Kowalski) A study of the conjectures of Artin and ShimuraTaniyamaWeil (E. de Shalit) An examination of classical modular (automorphic) L-functions as GL(2) functions, bringing into play the theory of representations (S.S. Kudla) Selberg's theory of the trace formula, which is a way to study automorphic representations (D. Bump) Discussion of cuspidal automorphic representations of GL(2,(A)) leads to Langlands theory for GL(n) and the importance of the Langlands dual group (J.W. Cogdell) An introduction to the geometric Langlands program, a new and active area of research that permits using powerful methods of algebraic geometry to construct automorphic sheaves (D. Gaitsgory) Graduate students and researchers will benefit from this beautiful text
Analytic properties of automorphic L-functions by Stephen S Gelbart( Book )

12 editions published between 1988 and 2014 in English and Undetermined and held by 240 WorldCat member libraries worldwide

Analytic Properties of Automorphic L-Functions
Lectures on the Arthur-Selberg trace formula by Stephen S Gelbart( Book )

11 editions published between 1995 and 1996 in English and held by 226 WorldCat member libraries worldwide

Fourier analysis on matrix space by Stephen S Gelbart( Book )

20 editions published between 1970 and 1977 in 3 languages and held by 210 WorldCat member libraries worldwide

Automorphic forms, representation theory and arithmetic : papers presented at the Bombay Colloquium 1979 by Stephen S Gelbart( Book )

12 editions published in 1981 in English and Undetermined and held by 161 WorldCat member libraries worldwide

Festschrift in honor of I.I. Piatetski-Shapiro on the occasion of his sixtieth birthday( Book )

7 editions published in 1990 in English and held by 83 WorldCat member libraries worldwide

The Schur lectures (1992) by Roger Howe( Book )

7 editions published in 1995 in English and held by 79 WorldCat member libraries worldwide

Lectures on analysis. Représentation theory by Gustave Choquet( Book )

11 editions published between 1969 and 1976 in English and held by 68 WorldCat member libraries worldwide

Lectures on analysis. Infinite dimensional measures and problem solutions by Gustave Choquet( Book )

7 editions published between 1969 and 1976 in English and held by 55 WorldCat member libraries worldwide

Lectures on analysis. Integration and topological vector spaces by Gustave Choquet( Book )

5 editions published between 1969 and 1976 in English and held by 45 WorldCat member libraries worldwide

Festschrift in honor of I.I. Piatetski-Shapiro on the occasion of his sixtieth birthday( Book )

2 editions published in 1990 in English and held by 11 WorldCat member libraries worldwide

Festschrift in honor of I.I. Piatetski-Shapiro on the occasion of his sixtieth birthday( Book )

2 editions published in 1990 in English and held by 10 WorldCat member libraries worldwide

Papers in analysis, number theory and automorphic L-functions by I. I Pi︠a︡tet︠s︡kiĭ-Shapiro( Book )

2 editions published in 1990 in English and held by 8 WorldCat member libraries worldwide

Encyclopaedia of mathematics. Supplement III by Shreeram Shankar Abhyankar( Book )

2 editions published in 2002 in English and held by 1 WorldCat member library worldwide

This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available
 
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Automorphic forms on Adele groups
Alternative Names
Gelbart, S.

Gelbart, S. 1946-

Gelbart, S. S. 1946-

Gelbart, S. (Stephen), 1946-

Gelbarṭ, Sṭepan 1946-...

Gelbart, Stephen.

Gelbart, Stephen 1946-

Gelbart, Stephen S.

Gelbart, Stephen S. 1946-

Gelbart, Stephen Samuel 1946-

Gelbart, Steve 1946-

Stephen Gelbart israelisch-US-amerikanischer Mathematiker

גלברט סטפן 1946-....

Languages
English (171)

German (3)

Italian (1)

Covers
Weil's representation and the spectrum of the metaplectic groupExplicit constructions of automorphic L-functionsAn introduction to the Langlands programLectures on the Arthur-Selberg trace formulaAutomorphic forms and L-functions : a workshop in honor of Steve Gelbart on the occasion of his sixtieth birthday, May 15-19, 2006, Rehovot and Tel-Aviv, IsraelEncyclopaedia of mathematics. Supplement IIIAutomorphic forms and L-functions I : a workshop in honor of Steve Gelbart on the occasion of his sixtieth birthday : May 15-19, 2006, Rehovot and Tel-Aviv, Israel