Notes on the boundaries of quadrature domains

Verma, Kaushal (2018) Notes on the boundaries of quadrature domains. In: ANALYSIS AND MATHEMATICAL PHYSICS, 9 (1). pp. 617-638.

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Abstract

We highlight an intrinsic connection between classical quadrature domains and the well-studied theme of removable singularities of analytic sets in several complex variables. Exploiting this connection provides a new framework to recover several basic properties of such domains, namely the algebraicity of their boundary, a better understanding of the associated defining polynomial and the possible boundary singularities that can occur.

Item Type:	Journal Article
Publication:	ANALYSIS AND MATHEMATICAL PHYSICS
Publisher:	SPRINGER BASEL AG
Additional Information:	The copyright for this article belongs to Springer Basel
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	29 Apr 2019 07:37
Last Modified:	29 Apr 2019 07:37
URI:	http://eprints.iisc.ac.in/id/eprint/62556

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