The Cauchy Integral Formula, Quadrature Domains, and Riemann Mapping Theorems
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DOI: 10.1007/s40315-018-0246-2
Abstract: It is well known that a domain in the plane is a quadrature domain with respect to area measure if and only if the function z extends meromorphically to the double, and it is a… read more here.
Keywords: arc length; cauchy integral; integral formula; quadrature domains ... See more keywords
How to count zeroes of polynomials on quadrature domains using the Bezout matrix
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DOI: 10.1016/j.aim.2019.05.027
Abstract: Classically, the Bezout matrix or simply Bezoutian of two polynomials is used to locate the roots of the polynomial and, in particular, test for stability. In this paper, we develop the theory of Bezoutians on… read more here.
Keywords: bezout matrix; quadrature domains; count zeroes; zeroes polynomials ... See more keywords