Volume: 33; 1979; 322 pp; Softcover
MSC: Primary 11; Secondary 12; 22
Print ISBN: 978-0-8218-1435-2
Product Code: PSPUM/33.1
List Price: $50.00
AMS Member Price: $40.00
MAA Member Price: $45.00
Electronic ISBN: 978-0-8218-3347-6
Product Code: PSPUM/33.1.E
List Price: $47.00
AMS Member Price: $37.60
MAA Member Price: $42.30
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Automorphic Forms, Representations and \(L\)-Functions: Part 1
Share this pageA. Borel; W. Casselman
Part 1 contains sections on Reductive groups, representations, Automorphic forms and representations)
Table of Contents
Automorphic Forms, Representations and $L$-Functions: Part 1
- Contents v6 free
- Foreword ix10 free
- Part 1 112 free
- I. Reductive groups. Representations 112
- Reductive groups 314
- Reductive groups over local fields 2940
- Representations of reductive Lie groups 7182
- Representations of GL[sub(2)](R) and GL[sub(2)]( C) 8798
- Normalizing factors, tempered representations, and L-groups 93104
- Orbital integrals for GL[sub(2)](R) 107118
- Representations of p-adic groups: A survey 111122
- Cuspidal unramified series for central simple algebras over local fields 157168
- Some remarks on the supercuspidal representations of P-adic semisimple groups 171182
- II. Automorphic forms and representations 177188
- Decomposition of representations into tensor products 179190
- Classical and adelic automorphic forms. An introduction 185196
- Automorphic forms and automorphic representations 189200
- On the notion of an automorphic representation. A supplement to the preceding paper 203214
- Multiplicity one theorems 209220
- Forms of GL(2) from the analytic point of view 213224
- Eisenstein series and the trace formula 253264
- θ-series and invariant theory 275286
- Examples of dual reductive pairs 287298
- On a relation between SL[sub(2)] cusp forms and automorphic forms on orthogonal groups 297308
- A counterexample to the "generalized Ramanujan conjecture" for (quasi-) split groups 315326