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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, and Boris Rubin, Louisiana State University, Baton Rouge, LA
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Contemporary Mathematics
2008; 264 pp; softcover
Volume: 464
ISBN-10: 0-8218-4327-3
ISBN-13: 978-0-8218-4327-7
List Price: US$81
Member Price: US$64.80
Order Code: CONM/464
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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 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.

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