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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
David R. Larson Texas A&M University, College Station, TX
Wavelets, Frames and Operator Theory
Softcover ISBN:  978-0-8218-3380-3
Product Code:  CONM/345
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7935-1
Product Code:  CONM/345.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3380-3
eBook: ISBN:  978-0-8218-7935-1
Product Code:  CONM/345.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Wavelets, Frames and Operator Theory
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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
David R. Larson Texas A&M University, College Station, TX
Softcover ISBN:  978-0-8218-3380-3
Product Code:  CONM/345
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7935-1
Product Code:  CONM/345.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3380-3
eBook ISBN:  978-0-8218-7935-1
Product Code:  CONM/345.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3452004; 342 pp
    MSC: Primary 20; 41; 42; 43; 46; 47; 65

    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.

    Readership

    Graduate students and research mathematicians interested in wavelets and their applications.

  • Table of Contents
     
     
    • Articles
    • Akram Aldroubi, Carlos Cabrelli and Ursula M. Molter — How to construct wavelet frames on irregular grids and arbitrary dilations in $\Bbb R^d$ [ MR 2066818 ]
    • 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 [ MR 2066819 ]
    • Robert L. Benedetto — Examples of wavelets for local fields [ MR 2066820 ]
    • Marcin Bownik and Ziemowit Rzeszotnik — The spectral function of shift-invariant spaces on general lattices [ MR 2066821 ]
    • Peter G. Casazza — Custom building finite frames [ MR 2066822 ]
    • Peter G. Casazza and Gitta Kutyniok — Frames of subspaces [ MR 2066823 ]
    • Dorin Ervin Dutkay — The local trace function for super-wavelets [ MR 2066824 ]
    • Hans Feichtinger and Isaac Pesenson — Recovery of band-limited functions on manifolds by an iterative algorithm [ MR 2066825 ]
    • John E. Gilbert and Joseph D. Lakey — On a characterization of the local Hardy space by Gabor frames [ MR 2066826 ]
    • Alfredo L. González and Richard A. Zalik — Riesz bases, multiresolution analyses, and perturbation [ MR 2066827 ]
    • Deguang Han and Yang Wang — The existence of Gabor bases and frames [ MR 2066828 ]
    • Brody Dylan Johnson — Co-affine systems in $\Bbb R^d$ [ MR 2066829 ]
    • Keri A. Kornelson and David R. Larson — Rank-one decomposition of operators and construction of frames [ MR 2066830 ]
    • Demetrio Labate, Guido Weiss and Edward Wilson — An approach to the study of wave packet systems [ MR 2066831 ]
    • M. C. Lammers — Convolution for Gabor systems and Newton’s method [ MR 2066832 ]
    • Gestur Ólafsson and Darrin Speegle — Wavelets, wavelet sets, and linear actions on $\Bbb R^n$ [ MR 2066833 ]
    • Alexander M. Powell — Orthonormalized coherent states [ MR 2066834 ]
    • Qiyu Sun — Localization of stability and $p$-frames in the Fourier domain [ MR 2066835 ]
    • Jiansheng Yang, Lixin Shen, Manos Papadakis, Ioannis Kakadiaris, Donald J. Kouri and David K. Hoffman — Orthonormal wavelets arising from HDAFs [ MR 2066836 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3452004; 342 pp
MSC: Primary 20; 41; 42; 43; 46; 47; 65

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.

Readership

Graduate students and research mathematicians interested in wavelets and their applications.

  • Articles
  • Akram Aldroubi, Carlos Cabrelli and Ursula M. Molter — How to construct wavelet frames on irregular grids and arbitrary dilations in $\Bbb R^d$ [ MR 2066818 ]
  • 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 [ MR 2066819 ]
  • Robert L. Benedetto — Examples of wavelets for local fields [ MR 2066820 ]
  • Marcin Bownik and Ziemowit Rzeszotnik — The spectral function of shift-invariant spaces on general lattices [ MR 2066821 ]
  • Peter G. Casazza — Custom building finite frames [ MR 2066822 ]
  • Peter G. Casazza and Gitta Kutyniok — Frames of subspaces [ MR 2066823 ]
  • Dorin Ervin Dutkay — The local trace function for super-wavelets [ MR 2066824 ]
  • Hans Feichtinger and Isaac Pesenson — Recovery of band-limited functions on manifolds by an iterative algorithm [ MR 2066825 ]
  • John E. Gilbert and Joseph D. Lakey — On a characterization of the local Hardy space by Gabor frames [ MR 2066826 ]
  • Alfredo L. González and Richard A. Zalik — Riesz bases, multiresolution analyses, and perturbation [ MR 2066827 ]
  • Deguang Han and Yang Wang — The existence of Gabor bases and frames [ MR 2066828 ]
  • Brody Dylan Johnson — Co-affine systems in $\Bbb R^d$ [ MR 2066829 ]
  • Keri A. Kornelson and David R. Larson — Rank-one decomposition of operators and construction of frames [ MR 2066830 ]
  • Demetrio Labate, Guido Weiss and Edward Wilson — An approach to the study of wave packet systems [ MR 2066831 ]
  • M. C. Lammers — Convolution for Gabor systems and Newton’s method [ MR 2066832 ]
  • Gestur Ólafsson and Darrin Speegle — Wavelets, wavelet sets, and linear actions on $\Bbb R^n$ [ MR 2066833 ]
  • Alexander M. Powell — Orthonormalized coherent states [ MR 2066834 ]
  • Qiyu Sun — Localization of stability and $p$-frames in the Fourier domain [ MR 2066835 ]
  • Jiansheng Yang, Lixin Shen, Manos Papadakis, Ioannis Kakadiaris, Donald J. Kouri and David K. Hoffman — Orthonormal wavelets arising from HDAFs [ MR 2066836 ]
Review Copy – for publishers of book reviews
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