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Titlebook: One-Dimensional Linear Singular Integral Equations; Volume II General Th Israel Gohberg,Naum Krupnik Book 1992 Springer Basel AG 1992 Integ

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书目名称One-Dimensional Linear Singular Integral Equations
副标题Volume II General Th
编辑Israel Gohberg,Naum Krupnik
视频video
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: One-Dimensional Linear Singular Integral Equations; Volume II General Th Israel Gohberg,Naum Krupnik Book 1992 Springer Basel AG 1992 Integ
描述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 Thi
出版日期Book 1992
关键词Integral equation; equation; integral; operator
版次1
doihttps://doi.org/10.1007/978-3-0348-8602-4
isbn_softcover978-3-0348-9697-9
isbn_ebook978-3-0348-8602-4Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightSpringer Basel AG 1992
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One-Dimensional Linear Singular Integral EquationsVolume II General Th
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General theorems on singular integral operators,nd . belong to .(Γ). It is demonstrated how these operators change if the curve is changed in a special way. This yields necessary conditions for the operators . and . to be .-, .- or .-operators. Further we show that, under certain natural conditions, at least one of the numbers dim ker . or dim co
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Singular integral operators with piecewise continuous coefficients and their applications,re all these discontinuities are assumed to be of the first kind. The curves are throughout assumed to be without intersections. The consideration of general composed curves will be postponed until the next chapter.
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Book 1992ay 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 exte
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0255-0156 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
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