Positive definite maps, representations and frames

被引：11

作者：

Dutkay, DE ^{[1
]}

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 2004年 / 16卷 / 04期

关键词：

positive definite kernels; Kolmogorov decomposition; representations; Gabor frames; wavelets; Ruelle transfer operator; tight frames;

D O I：

10.1142/S0129055X04002047

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a unitary approach to the construction of representations and intertwining operators. We apply it to the C*-algebras, groups, Gabor-type unitary systems and wavelets. We give an application of our method to the theory of frames, and we prove a general dilation theorem which is in turn applied to specific cases, and we obtain in this way a dilation theorem for wavelets.

引用

页码：451 / 477

页数：27

共 18 条

[1] Isometries, shifts, Cuntz algebras and multiresolution wavelet analysis of scale N [J].