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