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Wavelets, Frames and Operator Theory
Edited by: Christopher Heil, Georgia Institute of Technology, Atlanta, GA, Palle E.T. Jorgensen, University of Iowa, Iowa City, IA, and David R. Larson, Texas A&M University, College Station, TX

Contemporary Mathematics
2004; 342 pp; softcover
Volume: 345
ISBN-10: 0-8218-3380-4
ISBN-13: 978-0-8218-3380-3
List Price: US$103
Member Price: US$82.40
Order Code: CONM/345
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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 Foundation-sponsored 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.


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 Bratteli-Jorgensen loop group actions for GMRA's
  • R. L. Benedetto -- Examples of wavelets for local fields
  • M. Bownik and Z. Rzeszotnik -- The spectral function of shift-invariant 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 super-wavelets
  • H. Feichtinger and I. Pesenson -- Recovery of band-limited 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 -- Co-affine systems in \(\mathbb{R}^d\)
  • K. A. Kornelson and D. R. Larson -- Rank-one 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
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