On the Schwartz space $$ {\mathcal {S}}(G(k)\backslash G({\mathbb {A}})) $$
On the Schwartz space $$ {\mathcal {S}}(G(k)\backslash G({\mathbb {A}})) $$
复制标题
在施瓦茨空间 $$ {mathcal {S}}(G(k)反斜杠 G({mathbb {A}})) $$
DOI：
10.1007/s00605-020-01407-6
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
Sonja vZunar
中科院分区：
文献类型：
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作者：
Goran Mui'c;Sonja vZunar
For a connected reductive groupGdefined over a number fieldk, we construct the Schwartz space. This space is an adelic version of Casselman’s Schwartz space, whereis a discrete subgroup of. We study the space of tempered distributionsand investigate applications to automorphic forms on. In particular, we study the representationcontragredient to the right regular representationofand describe the closed irreducible admissible subrepresentations ofassuming thatGis semisimple.
