Background
Gelbart, Stephen Samuel was born on June 12, 1946 in Syracuse, New York, United States. Son of Abe and Sara (Goodman) Gelbar.
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( This volume investigates the interplay between the clas...)
This volume investigates the interplay between the classical theory of automorphic forms and the modern theory of representations of adele groups. Interpreting important recent contributions of Jacquet and Langlands, the author presents new and previously inaccessible results, and systematically develops explicit consequences and connections with the classical theory. The underlying theme is the decomposition of the regular representation of the adele group of GL(2). A detailed proof of the celebrated trace formula of Selberg is included, with a discussion of the possible range of applicability of this formula. Throughout the work the author emphasizes new examples and problems that remain open within the general theory. TABLE OF CONTENTS: 1. The Classical Theory 2. Automorphic Forms and the Decomposition of L2(PSL(2,R) 3. Automorphic Forms as Functions on the Adele Group of GL(2) 4. The Representations of GL(2) over Local and Global Fields 5. Cusp Forms and Representations of the Adele Group of GL(2) 6. Hecke Theory for GL(2) 7. The Construction of a Special Class of Automorphic Forms 8. Eisenstein Series and the Continuous Spectrum 9. The Trace Formula for GL(2) 10. Automorphic Forms on a Quaternion Algebra
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mathematician university professor
Gelbart, Stephen Samuel was born on June 12, 1946 in Syracuse, New York, United States. Son of Abe and Sara (Goodman) Gelbar.
Bachelor, Cornell University, 1967. Master of Arts, Princeton University, 1968. Doctor of Philosophy, Princeton University, 1970.
He was named a fellow of the American Mathematical Society in 2013 "for contributions to the development and dissemination of the Langlands program"
Gelbart was born in Syracuse, New New York He graduated from Cornell University in 1967, and earned a Doctor of Philosophy from Princeton University in 1970, with a dissertation on Fourier analysis supervised by Elias M. Stein. He returned to Cornell as an assistant professor in 1971, was promoted to full professor in 1980, moved to the Weizmann Institute in 1984, and was given his named chair in 1998.
He was president of the Israel Mathematical Union from 1994 to 1996.
His doctoral students include Erez Lapid.
( This volume investigates the interplay between the clas...)
Chairman Jewish Appeal, Tompkins, New Jersey, 1982—1983. Member of Israeli Mathematics Union, American Mathematics Society.
Married Mary Rae Glick Gelbart, June 16, 1968. Children: Ben, Ruth, Daniel.
