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Automorphic representations and L-functions for the general linear group /Vol. I Dorian Goldfeld, Joseph Hundley ; with exercises by Xander Faber.

By: Goldfeld, D.
Contributor(s): Hundley, Joseph | Faber, Xander.
Material type: TextTextSeries: Cambridge studies in advanced mathematics: 129-130.Publisher: Cambridge ; New York : Cambridge University Press, 2011Description: xix, 550 p., UKP 74.00 23 cm.ISBN: 9780521474238 (v.1); 052147423X (v.1); 9781107007994 (v.2); 1107007992 (v.2).Subject(s): Automorphic forms | L-functions | Representations of groupsDDC classification: 515.9
Contents:
v. 1. Introduction. Preface 1. Adeles over Q 2. Automorphic representations and L-functions for GL(1,AQ) 3. The classical theory of automorphic forms for GL(2) 4. Automorphic forms for GL(2,AQ) 5. Automorphic representations for GL(2,AQ) 6. Theory of admissible representations of GL(2,Qp) 7. Theory of admissible (g,K[infinity]) modules for GL(2,R) 8. The contragredient representation for GL(2) 9. Unitary representations of GL(2) 10. Tensor products of local representations 11. The Godement-Jacquet L-function for GL(2,AQ). Solutions to selected exercises. References. Symbols index. Index. -- v. 2. 12. the classical theory of automorphic forms for GL(n,R) -- 13. Automorphic forms and representations for GL(n,AQ) -- 14. Theory of local respresnetations for GL(n) -- The Godement-Jacquet L-function for GL(n,AQ).

Includes bibliographical references and index.

v. 1. Introduction. Preface 1. Adeles over Q 2. Automorphic representations and L-functions for GL(1,AQ) 3. The classical theory of automorphic forms for GL(2) 4. Automorphic forms for GL(2,AQ) 5. Automorphic representations for GL(2,AQ) 6. Theory of admissible representations of GL(2,Qp) 7. Theory of admissible (g,K[infinity]) modules for GL(2,R) 8. The contragredient representation for GL(2) 9. Unitary representations of GL(2) 10. Tensor products of local representations 11. The Godement-Jacquet L-function for GL(2,AQ). Solutions to selected exercises. References. Symbols index. Index. -- v. 2. 12. the classical theory of automorphic forms for GL(n,R) -- 13. Automorphic forms and representations for GL(n,AQ) -- 14. Theory of local respresnetations for GL(n) -- The Godement-Jacquet L-function for GL(n,AQ).