Naslov
Fourier coefficients of automorphic forms and integrable discrete series

Autori
Muić, Goran

Izvornik
Journal of functional analysis (0022-1236) 270 (2016); 3639-3674

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Cuspidal Automorphic Forms, Poincare Series, Fourier coefficients.

Sažetak
Let G be the group of R–points of a semisimple algebraic group G defined over Q. Assume that G is connected and noncompact. We study Fourier coefficients of Poincar´e series attached to matrix coefficients of integrable discrete series. We use these results to construct explicit automorphic cuspidal realizations, which have appropriate Fourier coefficients non--zero, of integrable discrete series in families of congruence subgroups. In the case of G = Sp2n(R), we relate our work to that of Li [15]. For G quasi–split over Q, we relate our work to the result about Poincar´e series due to Khare, Larsen, and Savin [13].

Izvorni jezik
Engleski

POVEZANOST RADA