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Hardcover ISBN:  9780821875087 
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Hardcover ISBN:  9780821875087 
Product Code:  TRANS2/162 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
eBook ISBN:  9781470433734 
Product Code:  TRANS2/162.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
Hardcover ISBN:  9780821875087 
eBook ISBN:  9781470433734 
Product Code:  TRANS2/162.B 
List Price:  $340.00 $257.50 
MAA Member Price:  $306.00 $231.75 
AMS Member Price:  $272.00 $206.00 

Book DetailsAmerican Mathematical Society Translations  Series 2Volume: 162; 1994; 261 ppMSC: Primary 44; 65; 92
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.
ReadershipMathematicians 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

Chapters

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 twodimensional 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. Vertgeim — Examples of nonuniqueness in problems related to the generalized Radon transform and emission tomography with absorption


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

Chapters

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 twodimensional 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. Vertgeim — Examples of nonuniqueness in problems related to the generalized Radon transform and emission tomography with absorption