Overview

The subject matter of these Notes is the interplay between the theory of automorphic forms and group representations. One goal is to interpret some recent developments in this area, most significantly the theory of Jacquet-Langlands, working out, whenever possible, explicit consequences and connections with the classical theory. Another goal is to collect as much information as possible concerning the decomposition of L2(GL(E, Q) \ GL(2, A(Q).

Full Product Details

Author:   Stephen S. Gelbart
Publisher:   Princeton University Press
Imprint:   Princeton University Press
Volume:   84
Dimensions:   Width: 15.20cm , Height: 1.60cm , Length: 22.90cm
Weight:   0.397kg
ISBN:  

9780691081564

ISBN 10:   0691081565
Pages:   227
Publication Date:   21 March 1975
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

*Frontmatter, pg. i*PREFACE, pg. vii*CONTENTS, pg. ix* 1. THE CLASSICAL THEORY, pg. 1* 2. AUTOMORPHIC FORMS AND THE DECOMPOSITION OF L2(GAMMA\SL(2, )), pg. 22* 3. AUTOMORPHIC FORMS AS FUNCTIONS ON THE ADELE GROUP OF GL(2), pg. 40* 4. THE REPRESENTATIONS OF GL(2) OVER LOCAL AND GLOBAL FIELDS, pg. 54* 5 . CUSP FORMS AND REPRESENTATIONS OF THE ADELE GROUP OF GL(2), pg. 79* 6. HECKE THEORY FOR GL(2), pg. 98* 7 . THE CONSTRUCTION OF A SPECIAL CLASS OF AUTOMORPHIC FORMS, pg. 133* 8 . EISENSTEIN SERIES AND THE CONTINUOUS SPECTRUM, pg. 161* 9. THE TRACE FORMULA FOR GL(2), pg. 181* 10. AUTOMORPHIC FORMS ON A QUATERNION ALGEBRA, pg. 227*BIBLIOGRAPHY, pg. 260*INDEX, pg. 264

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