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Volterra Equations and Inverse Problems

Inverse and Ill-Posed Problems Series

A.L. Bughgeim

The main part of this new monograph in the Inverse and Ill-PosedProblems Series, deals with the theory of multidimensional Volterraequations and their applications to multidimensional inverseproblems. The book opens with the basic concepts of the generalill-posed problem theory, followed by elements of the abstractoperator Volterra theory. Subsequent chapters deal with: linear andnonlinear operator equations in scales of Banach spaces andapplications to inverse problems; investigations by the method of theweight a priori estimates and the method based on the spectralvon Neumann theorem; multidimensional integro-differential Volterraequations and problems of integral geometry; inverse problems of wavescattering and propagation.

This monograph will be of value and interest to researchers inapplied mathematics, (mathematical) physics, and geophysics.

1999; x+204 pages
ISBN 90-6764-302-5
Price (all prices are subject to change without notice): EUR 149/US$ 213

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