**Contemporary Mathematics**

Volume: 140;
1992;
167 pp;
Softcover

MSC: Primary 53; 58; 52; 44;

Print ISBN: 978-0-8218-5153-1

Product Code: CONM/140

List Price: $51.00

Individual Member Price: $40.80

**Electronic ISBN: 978-0-8218-7731-9
Product Code: CONM/140.E**

List Price: $51.00

Individual Member Price: $40.80

# Geometric Analysis

Share this page *Edited by *
*Eric L. Grinberg*

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.

#### Readership

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

#### Reviews & Endorsements

Another triumph of intellectual honesty.

-- The Bulletin of Mathematics Books and Computer Software

# Table of Contents

## Geometric Analysis

- Contents v6 free
- Preface vii8 free
- On the Radon and Riesz transforms in real hyperbolic spaces 110 free
- Holmgren's uniqueness theorem and support theorems for real analytic Radon transforms 2332
- On the Petty-Schneider theorem 3140
- Nonlinear Fourier transform 3948
- On the infinitesimal rigidity of the complex quadrics 4958
- Microlocal analysis of the two-plane transform 6574
- Aspects of flat Radon transforms 7382
- On positivity problems for the Radon transform and some related transforms 8796
- Cohomology relative to the germ of an exact form 97106
- Generalized convex bodies and generalized envelopes 105114
- A note on flat Radon transforms 115124
- Self-similarity on nilpotent Lie groups 123132
- A kinematic formula and analogues of Hadwiger's theorem in space 159168