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Transformation formula of higher order integrals

Part of: Higher-dimensional theory Holomorphic functions of several complex variables

Published online by Cambridge University Press:  09 April 2009

Tao Qian  and
Tongde Zhong
Tao Qian
Affiliation:
School of Mathematics and Computer Sciences The University of New EnglandArmidale, NSW 2351 Australia e-mail:tao@mcs.une.edu.au
Tongde Zhong
Affiliation:
Institute of Mathematics Xiamen University Xiamen 361005 P. R., China
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Abstract

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By using integration by parts and Stokes' formula the authors give a new definition of the Hadamard principal value of higher order singular integrals on the complex hypersphere in Cn. Then the transformation formula for the higher order singular integrals is deduced.

Keywords

complex hyperspherehigher order singular integraltransformation formula.

MSC classification

Secondary: 32A25: Integral representations; canonical kernels (Szegő, Bergman, etc.) 31B10: Integral representations, integral operators, integral equations methods
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 68 , Issue 2 , April 2000 , pp. 155 - 164
Copyright
Copyright © Australian Mathematical Society 2000

References

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