The Mellin Transform and the Plancherel Theorem for the Discrete Heisenberg Group

被引：0

作者：

Parshin, A. N. ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Ul Gubkina 8, Moscow 119991, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2019年 / 307卷 / 01期

关键词：

IRREDUCIBLE REPRESENTATIONS;

D O I：

10.1134/S0081543819060105

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the classical representation theory of locally compact groups, there are well-known constructions of a unitary dual space of irreducible representations, the Fourier transform, and the Plancherel theorem. In this paper, we present analogs of these constructions for the discrete Heisenberg group and its irreducible infinite-dimensional representations in a vector space without topology.

引用

页码：174 / 192

页数：19

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