ON THE FORMULA OF CHANGE OF INTEGRATION ORDER FOR THE SINGULAR CAUCHY-SZEGO INTEGRAL IN MULTIDIMENSIONAL BALL
Abstract
It is obtained the Poincare-Bertrand formula for singular Cauchy-Szego integral in a multidimensional ball. It is considered principal value of integral in terms of Cauchy and in terms of Kerzman-Stein. The received formula in case of consideration of a Cauchy principal value differs from Poincare-Bertrand formula for Cauchy integral in a complex plane. However, in case of consideration of a principal value in terms of Kerzman-Stein the received formula of change of integration order is coincide with Poincare-Bertrand formula. This paper is a review of the main results on this problem.
About the Author
Anastasia Sergeevna Katsunova
Institute of Space and Information Technology SFU
Russian Federation
Russian Federation
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Review
For citations:
Katsunova A.S. ON THE FORMULA OF CHANGE OF INTEGRATION ORDER FOR THE SINGULAR CAUCHY-SZEGO INTEGRAL IN MULTIDIMENSIONAL BALL. The Bulletin of Kemerovo State University. 2011;(3-1):203-205. (In Russ.)
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