Frames, bases and group representations
Author(s)
Bibliographic Information
Frames, bases and group representations
（Memoirs of the American Mathematical Society, no. 697）
American Mathematical Society, 2000
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"September 2000, volume 147, number 697 (first of 4 numbers)"
Bibliography: p. 93-94
Description and Table of Contents
Description
We develop an operator-theoretic approach to discrete frame theory on a separable Hilbert space. We then apply this to an investigation of the structural properties of systems of unitary operators on Hilbert space which are related to orthonormal wavelet theory. We also obtain applications of frame theory to group representations, and of the theory of abstract unitary systems to frames generated by Gabor type systems.
Table of Contents
Introduction Basic theory for frames Complementary frames and disjointness Frame vectors for unitary systems Gabor type unitary systems Frame wavelets, super-wavelets and frame sets Frame representations for groups Concluding remarks Bibliography.
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