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

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DOI: 10.4236/am.2013.48166    4,240 Downloads   5,292 Views  
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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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

L. Cao, "Some Properties of a Kind of Singular Integral Operator with Weierstrass Function Kernel," Applied Mathematics, Vol. 4 No. 8, 2013, pp. 1231-1235. doi: 10.4236/am.2013.48166.

References

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