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Some Properties of a Kind of Singular Integral Operator with Weierstrass Function Kernel

DOI: 10.4236/am.2013.48166, PP. 1231-1235

Keywords: Weierstrass Function Kernel, Singular Integral Operator, Bertrand Poincaré Formula, Properties

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Abstract:

We considered a kind of singular integral operator with Weierstrass function kernel on a simple closed smooth curve in a fundamental period parallelogram. Using the method of complex functions, we established the Bertrand Poincaré formula for changing order of the corresponding integration, and some important properties for this kind of singular integral operator.

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