Frames, Bases, and Group Representations (Memoirs of the American Mathematical Society)

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.Deguang Han is the author of 'Frames, Bases, and Group Representations (Memoirs of the American Mathematical Society)' with ISBN 9780821820674 and ISBN 0821820672.