Modulation Spaces of Symbols for Representations of Nilpotent Lie Groups

被引：0

作者：

Ingrid Beltiţă

Daniel Beltiţă

机构：

[1] Institute of Mathematics “Simion Stoilow” of the Romanian Academy,

来源：

Journal of Fourier Analysis and Applications | 2011年 / 17卷

关键词：

Pseudo-differential Weyl calculus; Modulation space; Nilpotent Lie group; Semidirect product; 47G30; 22E25; 22E27; 35S05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate continuity properties of operators obtained as values of the Weyl correspondence constructed by Pedersen (Invent. Math. 118:1–36, 1994) for arbitrary irreducible representations of nilpotent Lie groups. To this end we introduce modulation spaces for such representations and establish some of their basic properties. The situation of square-integrable representations is particularly important and in the special case of the Schrödinger representation of the Heisenberg group we recover the classical modulation spaces used in the time-frequency analysis.

引用

页码：290 / 319

页数：29

共 35 条

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