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Geometric Analysis
Edited by: Eric L. Grinberg
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Contemporary Mathematics
1992; 167 pp; softcover
Volume: 140
ISBN-10: 0-8218-5153-5
ISBN-13: 978-0-8218-5153-1
List Price: US$51 Member Price: US$40.80
Order Code: CONM/140

This volume contains the refereed proceedings of the Special Session on Geometric Analysis held at the AMS meeting in Philadelphia in October 1991. The term "geometric analysis" is being used with increasing frequency in the mathematical community, but its meaning is not entirely fixed. The papers in this collection should help to better define the notion of geometric analysis by illustrating emerging trends in the subject. The topics covered range over a broad spectrum: integral geometry, Radon transforms, geometric inequalities, microlocal analysis, harmonic analysis, analysis on Lie groups and symmetric spaces, and more. Containing articles varying from the expository to the technical, this book presents the latest results in a broad range of analytic and geometric topics.

Researchers and graduate students interested in the many fields related to geometric analysis.

Reviews

"Another triumph of intellectual honesty."

-- The Bulletin of Mathematics Books and Computer Software

• C. A. Berenstein and E. C. Tarabusi -- On the Radon and Riesz transforms in real hyperbolic spaces
• J. Boman -- Holmgren's uniqueness theorem and support theorems for real analytic Radon transforms
• G. D. Chakerian and E. Lutwak -- On the Petty-Schneider theorem
• L. Ehrenpreis -- Nonlinear Fourier transform
• H. Goldschmidt -- On the infinitesimal rigidity of the complex quadrics
• A. Greenleaf and G. Uhlmann -- Microlocal analysis of the two-plane transform
• E. L. Grinberg -- Aspects of flat Radon transforms
• P. Kuchment -- On positivity problems for the Radon transform and some related transforms
• A. Meziani -- Cohomology relative to the germ of an exact form
• V. Oliker -- Generalized convex bodies and generalized envelopes
• E. T. Quinto -- A note on flat Radon transforms
• R. S. Strichartz -- Self-similarity on nilpotent Lie groups
• J. Zhou -- A kinematic formula and analogues of Hadwiger's theorem in space