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Titlebook: Singular Integral Equations; Boundary problems of N. I. Muskhelishvili Book 1958 Wolters-Noordhoff Publishing 1958 Integral equation

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Various Representations of Holomorphic Functions by Cauchy and Analogous Integralsc function in the form of a Cauchy or analogous integral; this expression, substituted into the boundary condition, reduces to an integral equation. In fact, such a method was used in the last section for the solution of the classical and modified Dirichlet problems.
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The Hilbert Problem for Several Unknown Functionsted region .; the boundary . will not belong to .. By . will be denoted the (generally not connected) region which is the complement of . + .. The positive direction on . will be assumed to leave the region . on the left.
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The Hölder ConditionAll functions considered will be defined on smooth lines and satisfy the Hölder condition. In this chapter some properties of such functions will be given.
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