Wavelets in Banach spaces

被引：28

作者：

Kisil, VV ^{[1
]}

机构：

[1] Univ Leeds, Dept Pure Math, Leeds LS2 9JT, W Yorkshire, England

来源：

ACTA APPLICANDAE MATHEMATICAE | 1999年 / 59卷 / 01期

关键词：

wavelets; coherent states; Banach spaces; group representations; covariant; contravariant (Wick) symbols; Heisenberg group; Segal-Bargmann spaces; Weyl functional calculus (quantization); second quantization; bosonic field;

D O I：

10.1023/A:1006394832290

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe a construction of wavelets (coherent states) in Banach spaces generated by 'admissible' group representations. Our main targets are applications in pure mathematics while connections with quantum mechanics are mentioned. As an example, we consider operator-valued Segal-Bargmann-type spaces and the Weyl functional calculus.

引用

页码：79 / 109

页数：31

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