Contemporary Mathematics 2001; 261 pp; softcover Volume: 278 ISBN10: 0821821350 ISBN13: 9780821821350 List Price: US$80 Member Price: US$64 Order Code: CONM/278
 One of the most exciting features of the fields of Radon transforms and tomography is the strong relationship between highlevel pure mathematics and applications to areas such as medical imaging and industrial nondestructive evaluation. The proceedings featured in this volume bring together fundamental research articles in the major areas of Radon transforms and tomography. This volume includes expository papers that are of special interest to beginners as well as advanced researchers. Topics include local tomography and wavelets, Lambda tomography and related methods, tomographic methods in RADAR, ultrasound, Radon transforms and differential equations, and the Pompeiu problem. The major themes in Radon transforms and tomography are represented among the research articles. Pure mathematical themes include vector tomography, microlocal analysis, twistor theory, Lie theory, wavelets, harmonic analysis, and distribution theory. The applied articles employ highquality pure mathematics to solve important practical problems. Effective scanning geometries are developed and tested for a NASA wind tunnel. Algorithms for limited electromagnetic tomographic data and for impedance imaging are developed and tested. Range theorems are proposed to diagnose problems with tomography scanners. Principles are given for the design of Xray tomography reconstruction algorithms, and numerical examples are provided. This volume offers readers a comprehensive source of fundamental research useful to both beginners and advanced researchers in the fields. Readership Graduate students and research mathematicians interested in integral transforms, harmonic analysis, numerical analysis, and partial differential equations, and in particular Radon transforms and tomography. Table of Contents Expository papers  C. A. Berenstein  Local tomography and related problems
 M. Cheney  Tomography problems arising in synthetic aperture radar
 A. Faridani, K. A. Buglione, P. Huabsomboon, O. D. Iancu, and J. McGrath  Introduction to local tomography
 F. Natterer  Algorithms in ultrasound tomography
 E. T. Quinto  Radon transforms, differential equations, and microlocal analysis
 L. Zalcman  Supplementary bibliography to "A bibliographic survey of the Pompeiu problem"
Research papers  T. Bailey and M. Eastwood  Twistor results for integral transforms
 J. Boman  Injectivity for a weighted vectorial Radon transform
 O. Dorn, E. L. Miller, and C. M. Rappaport  Shape reconstruction in 2D from limitedview multifrequency electromagnetic data
 L. Ehrenpreis  Three problems at Mount Holyoke
 F. B. Gonzalez  A PaleyWiener theorem for central functions on compact Lie groups
 I. Pesenson and E. L. Grinberg  Inversion of the spherical Radon transform by a Poisson type formula
 S. H. Izen and T. J. Bencic  Application of the Radon transform to calibration of the NASAGlenn icing research wind tunnel
 A. Katsevich  Range theorems for the Radon transform and its dual
 S. K. Patch  Moment conditions \(\emph{indirectly}\) improve image quality
 A. Rieder  Principles of reconstruction filter design in 2Dcomputerized tomography
 B. Rubin and D. Ryabogin  The \(k\)dimensional Radon transform on the \(n\)sphere and related wavelet transforms
 S. Siltanen, J. L. Mueller, and D. Isaacson  Reconstruction of high contrast 2D conductivities by the algorithm of A. Nachman
 L. B. Vertgeim  Integral geometry problem with incomplete data for tensor fields in a complex space
