Automorphic Forms on GL (3,ℝ)

✍ Scribed by Daniel Bump (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1984
• Tongue: English
• Leaves: 195
• Series: Lecture Notes in Mathematics 1083
• Edition: 1
• Category: Library

✦ Table of Contents

Automorphic forms on GL(2)....Pages 1-16
The differential equations satisfied by Whittaker functions....Pages 17-39
Jacquet's Whittaker functions....Pages 40-62
Fourier expansions of automorphic forms....Pages 63-72
Invariants of G ∞ \G....Pages 73-80
Ramanujan sums on GL(3)....Pages 81-98
Eisenstein series....Pages 99-132
The analytic continuation and functional equations satisfied by the L-series associated with an automorphic form....Pages 133-147
Hecke operators and L-series....Pages 148-160
The Mellin transforms of the Whittaker functions....Pages 161-180

✦ Subjects

Topological Groups, Lie Groups; Analysis