Contemporary Mathematics 1992; 167 pp; softcover Volume: 140 ISBN10: 0821851535 ISBN13: 9780821851531 List Price: US$48 Member Price: US$38.40 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. Readership 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 Table of Contents  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 PettySchneider 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 twoplane 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  Selfsimilarity on nilpotent Lie groups
 J. Zhou  A kinematic formula and analogues of Hadwiger's theorem in space
