Fourier Coefficients of Automorphic Forms

Roelof W. Bruggeman (auth.)9780387108391, 0-387-10839-4

Table of contents :
Introduction….Pages 1-18
The universal covering group G….Pages 19-23
Representations….Pages 24-32
Automorphic models….Pages 33-40
Standard and Whittaker models….Pages 41-48
Intertwining operators….Pages 49-60
Fourier coefficients of automorphic models….Pages 61-71
The operators θ α ….Pages 72-83
Eisenstein models….Pages 84-92
L 2 (Γ/G, X)….Pages 93-102
The analytic continuation of the Eisenstein model….Pages 103-124
Spectral decomposition of e L 2 (Γ/G,X)….Pages 125-132
The space H σ τ ….Pages 133-147
Convolution operators….Pages 148-165
Scalar product of Poincaré series….Pages 166-176
Sum formula….Pages 177-195