A new interpretation of Cauchy type singular integrals with an application to singular integral equations (Q1072046)
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scientific article; zbMATH DE number 3942172
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new interpretation of Cauchy type singular integrals with an application to singular integral equations |
scientific article; zbMATH DE number 3942172 |
Statements
A new interpretation of Cauchy type singular integrals with an application to singular integral equations (English)
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1986
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The author replaces the usual Cauchy singular integral S(f) of a function f by the following function \(S_ c(f)=S(f)+cf\), c being a complex constant. Then he rephrases some known results for linear singular equations in terms of this ''new'' singular integral. To the reviewer it is not clear which may be the novelty of this approach (apart from its formal aspect) and its scientifical significance.
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inversion formula
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Plemelj formulas
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Riemann-Hilbert problem
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