Paley-Wiener Isomorphism Over Infinite-Dimensional Unitary Groups

被引：0

作者：

Oleh Lopushansky

机构：

[1] University of Rzeszów,Faculty of Mathematics and Natural Sciences

来源：

Results in Mathematics | 2017年 / 72卷

关键词：

Hardy spaces of infinitely many variables; Harmonic analysis on infinite-dimensional groups; Symmetric Fock spaces; 46T12; 46G20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

An analog of the Paley-Wiener isomorphism for the Hardy space with an invariant measure over infinite-dimensional unitary groups is described. This allows us to investigate on such space the shift and multiplicative groups, as well as, their generators and intertwining operators. We show applications to the Gauss-Weierstrass semigroups and to the Weyl–Schrödinger irreducible representations of complexified infinite-dimensional Heisenberg groups.

引用

页码：2101 / 2120

页数：19

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