Softcover ISBN:  9780821843277 
Product Code:  CONM/464 
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eBook ISBN:  9780821881439 
Product Code:  CONM/464.E 
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Softcover ISBN:  9780821843277 
eBook: ISBN:  9780821881439 
Product Code:  CONM/464.B 
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Softcover ISBN:  9780821843277 
Product Code:  CONM/464 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821881439 
Product Code:  CONM/464.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821843277 
eBook ISBN:  9780821881439 
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 DetailsContemporary MathematicsVolume: 464; 2008; 264 ppMSC: 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 45, 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 noncompact), 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
ReadershipGraduate 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 sigmadelta 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 welllocalized 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 HelgasonFourier 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

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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 45, 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 noncompact), 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
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 sigmadelta 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 welllocalized 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 HelgasonFourier 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 ]