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Residue Integrals and their Mellin Transforms

Published online by Cambridge University Press:  20 November 2018

Mikael Passare  and
August Tsikh
Mikael Passare
Affiliation:
Matematiska institutionen, Stockholms universitet, 10691 Stockholm, Sweden
August Tsikh
Affiliation:
Krasnoyarskiĭ gosudarstvennyĭ universitet, Prospekt Svobodnyĭ 79, 660 062 Krasnoyarsk, Russia
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Abstract

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Given an almost arbitrary holomorphic map we study the structure of the associated residue integral and its Mellin transform, and the relation between these two objects. More precisely, we relate the limit behaviour of the residue integral to the polar structure of the Mellin transform. We consider also ideals connected to nonisolated singularities.

Keywords

32A2732H0213J0744A30
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 47 , Issue 5 , 01 October 1995 , pp. 1037 - 1050
Copyright
Copyright © Canadian Mathematical Society 1995

References

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