This collection will acquaint readers with recent work in Radon transforms carried out in the former Soviet Union. The papers focus on mathematical problems related to applications of Radon transforms. Some of the problems arose from practical tomography, while others are theoretical problems originating in tomography. The book will be of interest to mathematicians working in integral geometry and mathematical problems of tomography, as well as scientists who work on inverse problems and their computer realization.

Readership

Mathematicians working in integral geometry and mathematical problems of tomography, as well as scientists who work on inverse problems and their computer realization.

Table of Contents

• V. M. Buchstaber -- Time series analysis and Grassmannians
• A. S. Denisyuk -- Inversion of the generalized Radon transform
• A. N. Panchenko -- Generalized projection and section theorems in diffraction tomography
• D. A. Popov and D. V. Sushko -- Computation of singular convolutions
• D. A. Popov, E. B. Sokolova, and D. V. Sushko -- Mathematical models in two-dimensional Radon tomography
• V. A. Sharafutdinov -- Mathematical aspects of polarization tomography
• I. Ya. Shneĭberg -- Exponential Radon transform
• I. Ya. Shneĭberg, I. V. Ponomarev, V. A. Dmitrichenko, and S. D. Kalashnikov -- On a new reconstruction algorithm in emission tomography
• L. Vertgeĭm -- Examples of nonuniqueness in problems related to the generalized Radon transform and emission tomography with absorption