Read PDF One-Dimensional Linear Singular Integral Equations: Volume II General Theory and Applications

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View One Dimensional Linear Singular Integral Equations Volume Ii General Theory And Applications

This book is an introduction to the theory of linear one-dimensional singular integral equations. It is essentually a graduate textbook. Singular integral equations have attracted more and more attention, because, on one hand, this class of equations appears in many applications and, on the other, it is one of a few classes of equations which can be solved in explicit form.

In this book material of the monograph [2] of the authors on one-dimensional singular integral operators is widely used. This monograph appeared in in Russian and later in German translation [3].


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In the final text version the authors included many addenda and changes which have in essence changed character, structure and contents of the book and have, in our opinion, made it more suitable for a wider range of readers. Only the case of singular integral operators with continuous coefficients on a closed contour is considered herein.

ISBN 13: 9783764327965

The case of discontinuous coefficients and more general contours will be considered in the second volume. We are grateful to the editor Professor G. Heinig of the volume and to the translators Dr. Luderer and Dr. Roch, and to G. Lillack, who did the typing of the manuscript, for the work they have done on this volume.

Classification of integral equations, relationship between integral and differential equations I

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Seller Inventory More information about this seller Contact this seller. The present text includes a large number of additions and complementary material, essentially changing the character, structure and contents of the book, and making it accessible to a wider audience. Our main subject in the first volume was the case of closed curves and continuous coeffi- cients.

Volume II General Theory and Applications

Here, in the second volume, we turn to general curves and discontinuous coefficients. We are deeply grateful to the editor Professor G. Heinig, to the translator Dr. Roeh, and to the typist Mr. Lillack, for their patient work.

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The authors Ramat-Aviv, Ramat-Gan, May 26, 11 Introduction This book is the second volume of an introduction to the theory of linear one-dimensional singular integral operators. The main topics of both parts of the book are the invertibility and Fredholmness of these operators. Special attention is paid to inversion methods.

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Read more Read less. Product details Paperback: pages Publisher: Springer Basel; Softcover reprint of the original 1st ed. No customer reviews.