Frames, Bases and Group Representations
Jan 2000 · American Mathematical Society: Memoirs of the American Mathematical Society Ibhuku elingu-697 · American Mathematical Soc.
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94
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reportIzilinganiso nezibuyekezo aziqinisekisiwe Funda Kabanzi
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This work develops an operator-theoretic approach to discrete frame theory on a separable Hilbert space. It is then applied to an investigation of the structural properties of systems of unitary operators on Hilbert space which are related to orthonormal wavelet theory. Also obtained are applications of frame theory to group representations, and of the theory of abstract unitary systems to frames generated by Gabor type systems.
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