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Radon Transforms, Geometry, and Wavelets
 
Edited by: Gestur Ólafsson Louisiana State University, Baton Rouge, LA
Eric L. Grinberg University of New Hampshire, Durham, NH
David Larson Texas A & M University, College Station, TX
Palle E. T. Jorgensen University of Iowa, Iowa City, IA
Peter R. Massopust Institute of Biomathematics and Biometry, Neuherberg, Germany
Eric Todd Quinto Tufts University, Medford, MA
Boris Rubin Louisiana State University, Baton Rouge, LA
Radon Transforms, Geometry, and Wavelets
Softcover ISBN:  978-0-8218-4327-7
Product Code:  CONM/464
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8143-9
Product Code:  CONM/464.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4327-7
eBook: ISBN:  978-0-8218-8143-9
Product Code:  CONM/464.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Radon Transforms, Geometry, and Wavelets
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Radon Transforms, Geometry, and Wavelets
Edited by: Gestur Ólafsson Louisiana State University, Baton Rouge, LA
Eric L. Grinberg University of New Hampshire, Durham, NH
David Larson Texas A & M University, College Station, TX
Palle E. T. Jorgensen University of Iowa, Iowa City, IA
Peter R. Massopust Institute of Biomathematics and Biometry, Neuherberg, Germany
Eric Todd Quinto Tufts University, Medford, MA
Boris Rubin Louisiana State University, Baton Rouge, LA
Softcover ISBN:  978-0-8218-4327-7
Product Code:  CONM/464
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8143-9
Product Code:  CONM/464.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4327-7
eBook ISBN:  978-0-8218-8143-9
Product Code:  CONM/464.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: 4642008; 264 pp
    MSC: Primary 42; 44; Secondary 43; 51; 52; 65;

    This volume is based on two special sessions held at the AMS Annual Meeting in New Orleans in January 2007, and a satellite workshop held in Baton Rouge on January 4-5, 2007. It consists of invited expositions that together represent a broad spectrum of fields, stressing surprising interactions and connections between areas that are normally thought of as disparate. The main topics are geometry and integral transforms. On the one side are harmonic analysis, symmetric spaces, representation theory (the groups include continuous and discrete, finite and infinite, compact and non-compact), operator theory, PDE, and mathematical probability. Moving in the applied direction we encounter wavelets, fractals, and engineering topics such as frames and signal and image processing.

    The subjects covered in this book form a unified whole, and they stand at the crossroads of pure and applied mathematics. The articles cover a broad range in harmonic analysis, with the main themes related to integral geometry, the Radon transform, wavelets and frame theory. These themes can loosely be grouped together as follows:

    • Frame Theory and Applications
    • Harmonic Analysis and Function Spaces
    • Harmonic Analysis and Number Theory
    • Integral Geometry and Radon Transforms
    • Multiresolution Analysis, Wavelets, and Applications
    Readership

    Graduate students and research mathematicians interested in harmonic analysis, integral geometry and applications.

  • Table of Contents
     
     
    • Articles
    • Ilham A. Aliev, Boris Rubin, Sinem Sezer and Simten B. Uyhan — Composite wavelet transforms: applications and perspectives [ MR 2440127 ]
    • John J. Benedetto, Onur Oktay and Aram Tangboondouangjit — Complex sigma-delta quantization algorithms for finite frames [ MR 2440128 ]
    • Brad Currey and Tom McNamara — Decomposition and admissibility for the quasiregular representation for generalized oscillator groups [ MR 2440129 ]
    • Dorin Ervin Dutkay and Palle E. T. Jorgensen — Fourier series on fractals: a parallel with wavelet theory [ MR 2440130 ]
    • David Victor Feldman — A computational complexity paradigm for tomography [ MR 2440131 ]
    • Fulton B. Gonzalez — Invariant differential operators on matrix motion groups and applications to the matrix Radon transform [ MR 2440132 ]
    • Derrick Hart and Alex Iosevich — Sums and products in finite fields: an integral geometric viewpoint [ MR 2440133 ]
    • Brody D. Johnson and Kasso A. Okoudjou — Frame potential and finite abelian groups [ MR 2440134 ]
    • Peter G. Casazza and Gitta Kutyniok — Robustness of fusion frames under erasures of subspaces and of local frame vectors [ MR 2440135 ]
    • Kathy D. Merrill — Smooth well-localized Parseval wavelets based on wavelet sets in $\Bbb R^2$ [ MR 2440136 ]
    • S. Jain, M. Papadakis and E. Dussaud — Explicit schemes in seismic migration and isotropic multiscale representations [ MR 2440140 ]
    • Gestur Ólafsson and Boris Rubin — Invariant functions on Grassmannians [ MR 2440137 ]
    • Gestur Olafsson and Shijun Zheng — Harmonic analysis related to Schrödinger operators [ MR 2440138 ]
    • Isaac Pesenson — A discrete Helgason-Fourier transform for Sobolev and Besov functions on noncompact symmetric spaces [ MR 2440139 ]
    • Eric Todd Quinto — Helgason’s support theorem and spherical Radon transforms [ MR 2440141 ]
  • Additional Material
     
     
  • 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: 4642008; 264 pp
MSC: Primary 42; 44; Secondary 43; 51; 52; 65;

This volume is based on two special sessions held at the AMS Annual Meeting in New Orleans in January 2007, and a satellite workshop held in Baton Rouge on January 4-5, 2007. It consists of invited expositions that together represent a broad spectrum of fields, stressing surprising interactions and connections between areas that are normally thought of as disparate. The main topics are geometry and integral transforms. On the one side are harmonic analysis, symmetric spaces, representation theory (the groups include continuous and discrete, finite and infinite, compact and non-compact), operator theory, PDE, and mathematical probability. Moving in the applied direction we encounter wavelets, fractals, and engineering topics such as frames and signal and image processing.

The subjects covered in this book form a unified whole, and they stand at the crossroads of pure and applied mathematics. The articles cover a broad range in harmonic analysis, with the main themes related to integral geometry, the Radon transform, wavelets and frame theory. These themes can loosely be grouped together as follows:

  • Frame Theory and Applications
  • Harmonic Analysis and Function Spaces
  • Harmonic Analysis and Number Theory
  • Integral Geometry and Radon Transforms
  • Multiresolution Analysis, Wavelets, and Applications
Readership

Graduate students and research mathematicians interested in harmonic analysis, integral geometry and applications.

  • Articles
  • Ilham A. Aliev, Boris Rubin, Sinem Sezer and Simten B. Uyhan — Composite wavelet transforms: applications and perspectives [ MR 2440127 ]
  • John J. Benedetto, Onur Oktay and Aram Tangboondouangjit — Complex sigma-delta quantization algorithms for finite frames [ MR 2440128 ]
  • Brad Currey and Tom McNamara — Decomposition and admissibility for the quasiregular representation for generalized oscillator groups [ MR 2440129 ]
  • Dorin Ervin Dutkay and Palle E. T. Jorgensen — Fourier series on fractals: a parallel with wavelet theory [ MR 2440130 ]
  • David Victor Feldman — A computational complexity paradigm for tomography [ MR 2440131 ]
  • Fulton B. Gonzalez — Invariant differential operators on matrix motion groups and applications to the matrix Radon transform [ MR 2440132 ]
  • Derrick Hart and Alex Iosevich — Sums and products in finite fields: an integral geometric viewpoint [ MR 2440133 ]
  • Brody D. Johnson and Kasso A. Okoudjou — Frame potential and finite abelian groups [ MR 2440134 ]
  • Peter G. Casazza and Gitta Kutyniok — Robustness of fusion frames under erasures of subspaces and of local frame vectors [ MR 2440135 ]
  • Kathy D. Merrill — Smooth well-localized Parseval wavelets based on wavelet sets in $\Bbb R^2$ [ MR 2440136 ]
  • S. Jain, M. Papadakis and E. Dussaud — Explicit schemes in seismic migration and isotropic multiscale representations [ MR 2440140 ]
  • Gestur Ólafsson and Boris Rubin — Invariant functions on Grassmannians [ MR 2440137 ]
  • Gestur Olafsson and Shijun Zheng — Harmonic analysis related to Schrödinger operators [ MR 2440138 ]
  • Isaac Pesenson — A discrete Helgason-Fourier transform for Sobolev and Besov functions on noncompact symmetric spaces [ MR 2440139 ]
  • Eric Todd Quinto — Helgason’s support theorem and spherical Radon transforms [ MR 2440141 ]
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
Please select which format for which you are requesting permissions.