ISBN-10:
0691081565
ISBN-13:
9780691081564
Pub. Date:
03/21/1975
Publisher:
Princeton University Press
Automorphic Forms on Adele Groups. (AM-83), Volume 83

Automorphic Forms on Adele Groups. (AM-83), Volume 83

by Stephen S. Gelbart

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Product Details

ISBN-13: 9780691081564
Publisher: Princeton University Press
Publication date: 03/21/1975
Series: Annals of Mathematics Studies , #84
Edition description: New Edition
Pages: 227
Product dimensions: 8.80(w) x 5.90(h) x 0.80(d)

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(Γ\SL(2,ℝ)), 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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