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Summary: A Paley-Wiener theorem for real reductive groups
by
JAMES ARTHUR(1)
University of Toronto, Canada
Contents
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Chapter I
1. The group G .....8...................
2. Eisenstein integrals and associated functions ......... 11
3. Relation with induced representations ........... 17
4. Asymptotic expansions ................. . . 21
5. Estimates ........................... 27
6. Further properties of the functions EBIB, ....... . 35
7. The space .(G_,r) ....................... 38
Chapter II
1. A function of bounded support ..... ............ 43
2. The residue scheme ....................... 45
3. The functions Fi . .......................49
4. The theorem of Casselman ................... 52
5. Some definitions ......................... 56
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