Wavelets, Frames and Operator Theory (Contemporary Mathematics)

Wavelets, Frames and Operator Theory (Contemporary Mathematics)


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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.


How to construct wavelet frames on irregular grids and arbitrary dilations in $\mathbb{R}^d$ by A. Aldroubi, C. Cabrelli, and U. M. Molter An analogue of Bratteli-Jorgensen loop group actions for GMRA's by L. W. Baggett, P. E. T. Jorgensen, K. D. Merrill, and J. A. Packer Examples of wavelets for local fields by R. L. Benedetto The spectral function of shift-invariant spaces on general lattices by M. Bownik and Z. Rzeszotnik Custom building finite frames by P. G. Casazza Frames of subspaces by P. G. Casazza and G. Kutyniok The local trace function for super-wavelets by D. E. Dutkay Recovery of band-limited functions on manifolds by an iterative algorithm by H. Feichtinger and I. Pesenson On a characterization of the local Hardy space by Gabor frames by J. E. Gilbert and J. D. Lakey Riesz bases, multiresolution analyses, and perturbation by A. L. Gonzalez and R. A. Zalik The existence of Gabor bases and frames by D. Han and Y. Wang Co-affine systems in $\mathbb{R}^d$ by B. D. Johnson Rank-one decomposition of operators and construction of frames by K. A. Kornelson and D. R. Larson An approach to the study of wave packet systems by D. Labate, G. Weiss, and E. Wilson Convolution for Gabor systems and Newton's method by M. C. Lammers Wavelets, wavelet sets, and linear actions on $\mathbb{R}^n$ by G. Olafsson and D. Speegle Orthonormalized coherent states by A. M. Powell Localization of stability and $p$-frames in the Fourier domain by Q. Sun Orthonormal wavelets arising from HDAFs by J. Yang, L. Shen, M. Papadakis, I. Kakadiaris, D. J. Kouri, and D. K. Hoffman.

Product Details

  • ISBN13: 9780821833803
  • Format: Paperback
  • ID: 9780821833803
  • ISBN10: 0821833804

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