Wavelets in Banach Spaces

被引：0
作者：
Vladimir V. Kisil
机构：
[1] University of Leeds,Department of Pure Mathematics
来源：
Acta Applicandae Mathematica | 1999年 / 59卷
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：
暂无
中图分类号：
学科分类号：
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.
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页码：79 / 109
页数：30
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