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Some Properties of a Kind of Singular Integral Operator with Weierstrass Function Kernel
Department of Information and Computing Sciences, Mathematics College, Northeast Petroleum University, Daqing, China
- 1 Department of Information and Computing Sciences, Mathematics College, Northeast Petroleum University, Daqing, China
Applied Mathematics·Volume 04 (2013)·Pages 1231–1235·Published 23 July 2013·DOI10.4236/am.2013.48166
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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.
KeywordsWeierstrass Function KernelSingular Integral OperatorBertrand PoincaréFormulaProperties
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