Spectral decomposition and Eisenstein series. Transl. from the French by Leila Schneps. (English) Zbl 0846.11032

Moeglin, C.; Waldspurger, J.-L.

Cambridge Tracts in Mathematics. 113. Cambridge: Cambridge Univ. Press. xxvii, 338 p. (1995).

An extensive review on the French edition (Birkhäuser 1994) was given by J. Schwermer in Zbl 0794.11022.

MSC:

11F70	Representation-theoretic methods; automorphic representations over local and global fields
11F72	Spectral theory; trace formulas (e.g., that of Selberg)
11-02	Research exposition (monographs, survey articles) pertaining to number theory

Keywords:

wave packets; trace formula; Laplace-Beltrami operator; Eisenstein series; constant terms; analytic continuation; functional equations; intertwining operators; spectral decomposition; discrete spectrum; continuous spectrum; nonconnected groups; groups defined over a function field; automorphic form; pseudo-Eisenstein series; integrals of Eisenstein series

Citations:

Zbl 0794.11022