AUTOMORPHIC FORMS ON GL

By Y. FIRIN

§ 1 WEIL REPRESENTATIONS § 2 REPRESENTATIONS OF GL(2, F) IN THE NON-ARCHIMEDEAN CASE § 3 THE PRINCIPAL SERIES FOR NON-ARCHIMEDEAN ?ELDS § 4 EXAMPLES OF ABSOLUTELY CUSPIDAL REPRESENTATIONS § 5 REPRESENTATIONS OF GL(2, R) § 6 REPRESENTATION OF GL(2, C) § 7 CHARACTERS § 8 ODDS AND ENDS CHAPTER II: GLOBAL THEORY § 9 THE GLOBAL HECKE ALGEBRA §10 AUTOMORPHIC FORMS §11 HECKE THEORY §12 SOME EXTRAORDINARY REPRESENTATIONS CHAPTER III: QUATERNION ALGEBRAS §13 ZETA-FUNCTIONS FOR M(2, F) §14 AUTOMORPHIC FORMS AND QUATERNION ALGEBRAS §15 SOME ORTHOGONALITY RELATIONS §16 AN APPLICATION OF THE SELBERG TRACE FORMULA