Radon Transforms, Geometry, and Wavelets

Erscheinungsjahr 2008
ISBN: 978-0-8218-4327-7
Verlag: American Mathematical Society

Buch, Englisch, Band 464, 264 Seiten, Gewicht: 510 g

Reihe: Contemporary Mathematics

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

Autoren/Hrsg.

Olafsson, Gestur

Grinberg, Eric L.

Larson, David

Jorgensen, Palle E. T.

Massopust, Peter R.

Quinto, Eric Todd

Rubin, Boris

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Integralrechnungen- und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis