Radon transforms, geometry, and wavelets : AMS special session, January 7-8, 2007, New Orleans, Louisiana : Workshop, January 4-5, 2007, Baton Rouge, Louisiana
著者
書誌事項
Radon transforms, geometry, and wavelets : AMS special session, January 7-8, 2007, New Orleans, Louisiana : Workshop, January 4-5, 2007, Baton Rouge, Louisiana
（Contemporary mathematics, 464）
American Mathematical Society, c2008
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注記
"This volume of Contemporary mathematics is based on two special sessions at the annual AMS meeting in New Orleans, January 2007 and a satellite workshop in Baton Rouge, January 4-5, 2007, on Harmonic Analysis and Applications. The sections are: Special Session on Radon Transforms, Convex Geometry, and Geometric Analysis ... Special Session on Frames and Wavelets in Harmonic Analysis, Geometry, and Applications."--Pref., p. viii
Includes bibliographical references
内容説明・目次
内容説明
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
目次
Composite wavelet transforms: Applications and perspectives by I. A. Aliev, B. Rubin, S. Sezer, and S. B. Uyhan Complex sigma-delta quantization algorithms for finite frames by J. J. Benedetto, O. Oktay, and A. Tangboondouangjit Decomposition and admissibility for the quasiregular representation for generalized oscillator groups by B. Currey and T. McNamara Fourier series on fractals: A parallel with wavelet theory by D. E. Dutkay and P. E. T. Jorgensen A computational complexity paradigm for tomography by D. V. Feldman Invariant differential operators on matrix motion groups and applications to the matrix radon transform by F. B. Gonzalez Sums and products in finite fields: An integral geometric viewpoint by D. Hart and A. Iosevich Frame potential and finite abelian groups by B. D. Johnson and K. A. Okoudjou Robustness of fusion frames under erasures of subspaces and of local frame vectors by P. G. Casazza and G. Kutyniok Smooth, well-localized Parseval wavelets based on wavelet sets in $\mathbb{R}^2$ by K. D. Merrill Explicit schemes in seismic migration and isotropic multiscale representations by S. Jain, M. Papadakis, and E. Dussaud Invariant functions on Grassmannians by G. Olafsson and B. Rubin Harmonic analysis related to Schrodinger operators by G. Olafsson and S. Zheng Discrete Helgason-Fourier transform for Sobolev and Besov functions on noncompact symmetric spaces by I. Pesenson Helgason's support theorem and spherical radon transforms by E. T. Quinto.
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