Memoirs of the American Mathematical Society 2000; 94 pp; softcover Volume: 147 ISBN10: 0821820672 ISBN13: 9780821820674 List Price: US$51 Individual Members: US$30.60 Institutional Members: US$40.80 Order Code: MEMO/147/697
 We develop an operatortheoretic 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. Readership Graduate students and research mathematicians interested in functional analysis. Table of Contents  Introduction
 Basic theory for frames
 Complementary frames and disjointness
 Frame vectors for unitary systems
 Gabor type unitary systems
 Frame wavelets, superwavelets and frame sets
 Frame representations for groups
 Concluding remarks
 Bibliography
