A generalization of the Forelli-Rudin construction and deflation identities

Yamamori, Atsushi

doi:10.1090/S0002-9939-2014-12317-3

A generalization of the Forelli-Rudin construction and deflation identities
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Proc. Amer. Math. Soc. 143 (2015), 1569-1581 Request permission

Abstract:

We establish a series representation formula of the Bergman kernel of a certain class of domains, which generalizes the Forelli-Rudin construction of the Hartogs domain. Our formula is applied to derive deflation type identities of the Bergman kernels for our domains.

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