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The Functional and Harmonic Analysis of Wavelets and Frames
 
Edited by: Lawrence Wasson Baggett University of Colorado, Boulder, CO
David Royal Larson Texas A & M University, College Station, TX
Front Cover for The Functional and Harmonic Analysis of Wavelets and Frames
Available Formats:
Softcover ISBN: 978-0-8218-1957-9
Product Code: CONM/247
List Price: $98.00
MAA Member Price: $88.20
AMS Member Price: $78.40
Electronic ISBN: 978-0-8218-7837-8
Product Code: CONM/247.E
List Price: $92.00
MAA Member Price: $82.80
AMS Member Price: $73.60
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $147.00
MAA Member Price: $132.30
AMS Member Price: $117.60
Front Cover for The Functional and Harmonic Analysis of Wavelets and Frames
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  • Front Cover for The Functional and Harmonic Analysis of Wavelets and Frames
  • Back Cover for The Functional and Harmonic Analysis of Wavelets and Frames
The Functional and Harmonic Analysis of Wavelets and Frames
Edited by: Lawrence Wasson Baggett University of Colorado, Boulder, CO
David Royal Larson Texas A & M University, College Station, TX
Available Formats:
Softcover ISBN:  978-0-8218-1957-9
Product Code:  CONM/247
List Price: $98.00
MAA Member Price: $88.20
AMS Member Price: $78.40
Electronic ISBN:  978-0-8218-7837-8
Product Code:  CONM/247.E
List Price: $92.00
MAA Member Price: $82.80
AMS Member Price: $73.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $147.00
MAA Member Price: $132.30
AMS Member Price: $117.60
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2471999; 306 pp
    MSC: Primary 41; 42; 43; 46; 47;

    Over the past decade, wavelets and frames have emerged as increasingly powerful tools of analysis on \(n\)-dimension Euclidean space. Both wavelets and frames were studied initially by using classical Fourier analysis. However, in recent years more abstract tools have been introduced, for example, from operator theory, abstract harmonic analysis, von Neumann algebras, etc.

    The editors of this volume organized a Special Session on the functional and harmonic analysis of wavelets at the San Antonio (TX) Joint Mathematics Meetings. The goal of the session was to focus research attention on these newly-introduced tools and to share the organizers' view that this modern application holds the promise of providing some deeper understanding and fascinating new structures in pure functional analysis. This volume presents the fruitful results of the lively discussions that took place at the conference.

    Readership

    Graduate students and research mathematicians interested in analysis.

  • Table of Contents
     
     
    • Articles
    • Akram Aldroubi and Peter Basser - Reconstruction of vector and tensor fields from sampled discrete data [ MR 1738083 ]
    • Lawrence W. Baggett and Kathy D. Merrill - Abstract harmonic analysis and wavelets in $\mathbf {R}^n$ [ MR 1735967 ]
    • Radu Balan - Density and redundancy of the noncoherent Weyl-Heisenberg superframes [ MR 1738084 ]
    • John J. Benedetto and Manuel T. Leon - The construction of multiple dyadic minimally supported frequency wavelets on $\mathrm {R}^d$ [ MR 1738085 ]
    • Luca Brandolini, Gustavo Garrigós, Ziemowit Rzeszotnik and Guido Weiss - The behaviour at the origin of a class of band-limited wavelets [ MR 1738086 ]
    • Ola Bratteli and Palle E. T. Jorgensen - Convergence of the cascade algorithm at irregular scaling functions [ MR 1738087 ]
    • Peter G. Casazza, Ole Christensen and A. J. E. M. Janssen - Classifying tight Weyl-Heisenberg frames [ MR 1738088 ]
    • Peter G. Casazza, Deguang Han and David R. Larson - Frames for Banach spaces [ MR 1738089 ]
    • Jennifer Courter - Construction of dilation-$d$ wavelets [ MR 1738090 ]
    • Michael Frank and David R. Larson - A module frame concept for Hilbert $C^\ast $-modules [ MR 1738091 ]
    • Jesus Gasch and John E. Gilbert - Triangularization of Hankel operators and the bilinear Hilbert transform [ MR 1738092 ]
    • Richard F. Gundy - Two remarks concerning wavelets: Cohen’s criterion for low-pass filters and Meyer’s theorem on linear independence [ MR 1738093 ]
    • D. Han, D. R. Larson, Manos Papadakis and Th. Stavropoulos - Multiresolution analyses of abstract Hilbert spaces and wandering subspaces [ MR 1738094 ]
    • Gilbert Strang, Vasily Strela and Ding-Xuan Zhou - Compactly supported refinable functions with infinite masks [ MR 1738095 ]
    • Eric Weber - Applications of the wavelet multiplicity function [ MR 1738096 ]
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Volume: 2471999; 306 pp
MSC: Primary 41; 42; 43; 46; 47;

Over the past decade, wavelets and frames have emerged as increasingly powerful tools of analysis on \(n\)-dimension Euclidean space. Both wavelets and frames were studied initially by using classical Fourier analysis. However, in recent years more abstract tools have been introduced, for example, from operator theory, abstract harmonic analysis, von Neumann algebras, etc.

The editors of this volume organized a Special Session on the functional and harmonic analysis of wavelets at the San Antonio (TX) Joint Mathematics Meetings. The goal of the session was to focus research attention on these newly-introduced tools and to share the organizers' view that this modern application holds the promise of providing some deeper understanding and fascinating new structures in pure functional analysis. This volume presents the fruitful results of the lively discussions that took place at the conference.

Readership

Graduate students and research mathematicians interested in analysis.

  • Articles
  • Akram Aldroubi and Peter Basser - Reconstruction of vector and tensor fields from sampled discrete data [ MR 1738083 ]
  • Lawrence W. Baggett and Kathy D. Merrill - Abstract harmonic analysis and wavelets in $\mathbf {R}^n$ [ MR 1735967 ]
  • Radu Balan - Density and redundancy of the noncoherent Weyl-Heisenberg superframes [ MR 1738084 ]
  • John J. Benedetto and Manuel T. Leon - The construction of multiple dyadic minimally supported frequency wavelets on $\mathrm {R}^d$ [ MR 1738085 ]
  • Luca Brandolini, Gustavo Garrigós, Ziemowit Rzeszotnik and Guido Weiss - The behaviour at the origin of a class of band-limited wavelets [ MR 1738086 ]
  • Ola Bratteli and Palle E. T. Jorgensen - Convergence of the cascade algorithm at irregular scaling functions [ MR 1738087 ]
  • Peter G. Casazza, Ole Christensen and A. J. E. M. Janssen - Classifying tight Weyl-Heisenberg frames [ MR 1738088 ]
  • Peter G. Casazza, Deguang Han and David R. Larson - Frames for Banach spaces [ MR 1738089 ]
  • Jennifer Courter - Construction of dilation-$d$ wavelets [ MR 1738090 ]
  • Michael Frank and David R. Larson - A module frame concept for Hilbert $C^\ast $-modules [ MR 1738091 ]
  • Jesus Gasch and John E. Gilbert - Triangularization of Hankel operators and the bilinear Hilbert transform [ MR 1738092 ]
  • Richard F. Gundy - Two remarks concerning wavelets: Cohen’s criterion for low-pass filters and Meyer’s theorem on linear independence [ MR 1738093 ]
  • D. Han, D. R. Larson, Manos Papadakis and Th. Stavropoulos - Multiresolution analyses of abstract Hilbert spaces and wandering subspaces [ MR 1738094 ]
  • Gilbert Strang, Vasily Strela and Ding-Xuan Zhou - Compactly supported refinable functions with infinite masks [ MR 1738095 ]
  • Eric Weber - Applications of the wavelet multiplicity function [ MR 1738096 ]
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