One-Dimensional Linear Singular Integral Equations: Volume II General Theory and Applications
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Basel
Birkhäuser Basel
1992
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Schriftenreihe: | Operator Theory: Advances and Applications
54 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | This monograph is the second volume of a graduate text book on the modern theory of linear one-dimensional singular integral equations. Both volumes may be regarded as unique graduate text books. Singular integral equations attract more and more attention since this class of equations appears in numerous applications, and also because they form one of the few classes of equations which can be solved explicitly. The present book is to a great extent based upon material contained in the second part of the authors' monograph [6] which appeared in 1973 in Russian, and in 1979 in German translation. 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. 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. S. Roeh, and to the typist Mr. G. Lillack, for their patient work. The authors Ramat-Aviv, Ramat-Gan, May 26, 1991 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 |
Beschreibung: | 1 Online-Ressource (232 p) |
ISBN: | 9783034886024 9783034896979 |
DOI: | 10.1007/978-3-0348-8602-4 |
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spelling | Gohberg, Yiśrāʿēl Z. 1928-2009 Verfasser (DE-588)118915878 aut One-Dimensional Linear Singular Integral Equations Volume II General Theory and Applications by Israel Gohberg, Naum Krupnik Basel Birkhäuser Basel 1992 1 Online-Ressource (232 p) txt rdacontent c rdamedia cr rdacarrier Operator Theory: Advances and Applications 54 This monograph is the second volume of a graduate text book on the modern theory of linear one-dimensional singular integral equations. Both volumes may be regarded as unique graduate text books. Singular integral equations attract more and more attention since this class of equations appears in numerous applications, and also because they form one of the few classes of equations which can be solved explicitly. The present book is to a great extent based upon material contained in the second part of the authors' monograph [6] which appeared in 1973 in Russian, and in 1979 in German translation. 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. 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. S. Roeh, and to the typist Mr. G. Lillack, for their patient work. The authors Ramat-Aviv, Ramat-Gan, May 26, 1991 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 Mathematics Mathematics, general Mathematik Krupnik, Nahum 1932- Sonstige (DE-588)121758400 oth https://doi.org/10.1007/978-3-0348-8602-4 Verlag Volltext |
spellingShingle | Gohberg, Yiśrāʿēl Z. 1928-2009 One-Dimensional Linear Singular Integral Equations Volume II General Theory and Applications Mathematics Mathematics, general Mathematik |
title | One-Dimensional Linear Singular Integral Equations Volume II General Theory and Applications |
title_auth | One-Dimensional Linear Singular Integral Equations Volume II General Theory and Applications |
title_exact_search | One-Dimensional Linear Singular Integral Equations Volume II General Theory and Applications |
title_full | One-Dimensional Linear Singular Integral Equations Volume II General Theory and Applications by Israel Gohberg, Naum Krupnik |
title_fullStr | One-Dimensional Linear Singular Integral Equations Volume II General Theory and Applications by Israel Gohberg, Naum Krupnik |
title_full_unstemmed | One-Dimensional Linear Singular Integral Equations Volume II General Theory and Applications by Israel Gohberg, Naum Krupnik |
title_short | One-Dimensional Linear Singular Integral Equations |
title_sort | one dimensional linear singular integral equations volume ii general theory and applications |
title_sub | Volume II General Theory and Applications |
topic | Mathematics Mathematics, general Mathematik |
topic_facet | Mathematics Mathematics, general Mathematik |
url | https://doi.org/10.1007/978-3-0348-8602-4 |
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