Smooth cuspidal automorphic forms and integrable discrete series
Smooth cuspidal automorphic forms and integrable discrete series
复制标题
光滑尖头自守形式和可积离散级数
DOI：
10.1007/s00209-018-2109-y
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发表时间：
2016
影响因子：
0.8
通讯作者：
G. Muić
中科院分区：
文献类型：
--
作者：
G. Muić
In this paper we construct smooth cuspidal automorphic forms related to integrable discrete series of a connected semisimple Lie group with finite center for classical and adelic situation as an application of the theory of Schwartz spaces for automorphic forms developed by Casselman. In the classical situation, smooth cuspidal automorphic forms are constructed via an explicit continuous map from the Frechét space of smooth vectors of a Banach realization insideof an integrable discrete series into the space of smooth vectors of a strong topological dual of an appropriate Schwartz space.
