Abel Integral Equations: Analysis and Applications
Author:   Rudolf Gorenflo ,  Sergio Vessella
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   1991 ed.
Volume:   1461
ISBN:  

9783540536680


Pages:   222
Publication Date:   12 February 1991
Format:   Paperback
Availability:   Out of print, replaced by POD   Availability explained
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Abel Integral Equations: Analysis and Applications


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Overview

In many fields of mathematical application, progress is dependent upon the flow of information between theoretical mathematicians looking for applications, mathematicians in need of theory, and scientists and engineers applying mathematical models and methods. The intention of this book is to stimulate sources of information regarding integral equations. In the first three chapters, applications of Abel integral equations are surveyed, including determination of potentials, stereology, seismic travel times, spectroscopy and optical fibres. Subsequent chapters, which require some background in functional analysis, map properties of Abel integral operators and their relation to other integral transforms in various function spaces. Numerical methods are described, and issues concerning the existence and uniqueness of solutions of linear and nonlinear Abel integral equations are explored.

Full Product Details

Author:   Rudolf Gorenflo ,  Sergio Vessella
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1991 ed.
Volume:   1461
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.730kg
ISBN:  

9783540536680


ISBN 10:   354053668
Pages:   222
Publication Date:   12 February 1991
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

Basic theory and representation formulas.- Applications of Abel's original integral equation: Determination of potentials.- Applications of a transformed abel integral equation.- Smoothing properties of the abel operators.- Existence and uniqueness theorems.- Relations between abel transform and other integral transforms.- Nonlinear abel integral equations of second kind.- Illposedness and stabilization of linear abel integral equations of first kind.- On numerical treatment of first kind abel integral equations.

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