Quadrature Domains in C-n

Haridas, Pranav and Verma, Kaushal (2015) Quadrature Domains in C-n. In: COMPUTATIONAL METHODS AND FUNCTION THEORY, 15 (1). pp. 125-141.

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Abstract

We prove two density theorems for quadrature domains in , . It is shown that quadrature domains are dense in the class of all product domains of the form , where is a smoothly bounded domain satisfying Bell's Condition R and is a smoothly bounded domain and also in the class of all smoothly bounded complete Hartogs domains in C-2.

Item Type:	Journal Article
Publication:	COMPUTATIONAL METHODS AND FUNCTION THEORY
Publisher:	SPRINGER HEIDELBERG
Additional Information:	Copy right for this article belongs to the SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY
Keywords:	Quadrature domains; Condition R; Bergman kernel
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	20 Apr 2015 11:17
Last Modified:	20 Apr 2015 11:17
URI:	http://eprints.iisc.ac.in/id/eprint/51292

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