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Transformation Formula for the Reduced Bergman Kernel and its Application

Gehlawat, S. and Jain, A. and Sarkar, A.D. (2022) Transformation Formula for the Reduced Bergman Kernel and its Application. In: Analysis Mathematica .

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Official URL: https://link.springer.com/article/10.1007/s10476-0...

Abstract

In this article, we prove the transformation formula for the reduced Bergman kernels under proper holomorphic correspondences between bounded domains in the complex plane. As a corollary, we obtain the transformation formula for the reduced Bergman kernels under proper holomorphic maps. We also establish the transformation formula for the weighted reduced Bergman kernels under proper holomorphic maps. Finally, we provide an application of this transformation formula. © 2022, Akadémiai Kiadó, Budapest.

Item Type: Journal Article
Publication: Analysis Mathematica
Publisher: Springer Science and Business Media B.V.
Additional Information: The copyright of this article is belongs to Authors
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 19 May 2022 05:53
Last Modified: 19 May 2022 05:53
URI: https://eprints.iisc.ac.in/id/eprint/71957

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