Contemporary Mathematics 1991; 251 pp; softcover Volume: 113 ISBN10: 0821851209 ISBN13: 9780821851203 List Price: US$68 Member Price: US$54.40 Order Code: CONM/113
 This book contains the proceedings of an AMSIMSSIAM Joint Summer Research Conference on Integral Geometry and Tomography, held in June 1989 at Humboldt State University in Arcata, California. The papers collected here represent current research in these two interrelated fields. The articles in pure mathematics range over such diverse areas as combinatorics, geometric inequalities, microlocal analysis, group theory, and harmonic analysis. The interplay between Lie group theory, geometry, harmonic analysis, and Radon transforms is well covered. The papers on tomography reflect current research on Xray computed tomography, as well as radiation dose planning, radar, and partial differential equations. In addition to describing current research, this book provides a useful perspective on the interplay between the fields. For example, abstract theorems about Radon transforms are used to understand applied mathematics, while applied mathematics motivates some of the results in pure mathematics. Though directed at specialists in the field, the book would also be of interest to others who wish to understand current research in these areas and to witness how they relate to other branches of mathematics. Table of Contents  E. D. Bolker, E. Grinberg, and J. P. S. Kung  Admissible complexes for the combinatorial Radon transform. A Progress Report
 Jan  On generalized Radon transforms with unknown measures
 W. O. Bray and D. C. Solmon  PaleyWiener theorems on rank one symmetric spaces of noncompact type
 E. C. Tarabusi  Inversion of the Xray transform: continuous vs.discrete
 A. M. Cormack and E. T. Quinto  The mathematics and physics of radiation dose planning using Xrays
 L. Ehrenpreis  The Radon transform and tensor products
 A. Faridani  An application of a multidimensional sampling theorem to computed tomography
 H. Goldschmidt  The Radon transform for symmetric forms on real projective spaces
 F. B. Gonzalez  Biinvariant differential operators on the complex motion group and the range of the \(d\)plane transform on \(\mathbf C^n\)
 P. R. Goodey and R. Howard  Processes of flats induced by higherdimensional processes II
 A. Greenleaf and G. Uhlmann  Microlocal techniques in integral geometry
 S. Helgason  The totallygeodesic Radon transform on constant curvature spaces
 S. H. Izen  An application for a limited solid angle Xray transform
 E. Lutwak  On a conjectured projection inequality of Petty
 P. Maass  A generalized Radon transform in wideband radar
 W. R. Madych  Summability and approximate reconstruction from Radon transform data
 F. Natterer  An inverse problem for a transport equation and integral geometry
 J. Orloff  Invariant Radon transforms on a symmetric space
 D. C. Solmon  Nonuniqueness and the null space of the divergent beam Xray transform
