Contemporary Mathematics 2004; 342 pp; softcover Volume: 345 ISBN10: 0821833804 ISBN13: 9780821833803 List Price: US$98 Member Price: US$78.40 Order Code: CONM/345
 In the past two decades, wavelets and frames have emerged as significant tools in mathematics and technology. They interact with harmonic analysis, operator theory, and a host of other applications. This book grew out of a special session on Wavelets, Frames and Operator Theory held at the Joint Mathematics Meetings in Baltimore and a National Science Foundationsponsored workshop held at the University of Maryland. Both events were associated with the NSF Focused Research Group. The volume includes both theoretical and applied papers highlighting the many facets of these interconnected topics. It is suitable for graduate students and researchers interested in wavelets and their applications. Readership Graduate students and research mathematicians interested in wavelets and their applications. Table of Contents  A. Aldroubi, C. Cabrelli, and U. M. Molter  How to construct wavelet frames on irregular grids and arbitrary dilations in \(\mathbb{R}^d\)
 L. W. Baggett, P. E. T. Jorgensen, K. D. Merrill, and J. A. Packer  An analogue of BratteliJorgensen loop group actions for GMRA's
 R. L. Benedetto  Examples of wavelets for local fields
 M. Bownik and Z. Rzeszotnik  The spectral function of shiftinvariant spaces on general lattices
 P. G. Casazza  Custom building finite frames
 P. G. Casazza and G. Kutyniok  Frames of subspaces
 D. E. Dutkay  The local trace function for superwavelets
 H. Feichtinger and I. Pesenson  Recovery of bandlimited functions on manifolds by an iterative algorithm
 J. E. Gilbert and J. D. Lakey  On a characterization of the local Hardy space by Gabor frames
 A. L. González and R. A. Zalik  Riesz bases, multiresolution analyses, and perturbation
 D. Han and Y. Wang  The existence of Gabor bases and frames
 B. D. Johnson  Coaffine systems in \(\mathbb{R}^d\)
 K. A. Kornelson and D. R. Larson  Rankone decomposition of operators and construction of frames
 D. Labate, G. Weiss, and E. Wilson  An approach to the study of wave packet systems
 M. C. Lammers  Convolution for Gabor systems and Newton's method
 G. Ólafsson and D. Speegle  Wavelets, wavelet sets, and linear actions on \(\mathbb{R}^n\)
 A. M. Powell  Orthonormalized coherent states
 Q. Sun  Localization of stability and \(p\)frames in the Fourier domain
 J. Yang, L. Shen, M. Papadakis, I. Kakadiaris, D. J. Kouri, and D. K. Hoffman  Orthonormal wavelets arising from HDAFs
