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- W2912236755 abstract "It is known that if $f: D_1 to D_2$ is a polynomial biholomorphism with polynomial inverse and constant Jacobian then $D_1$ is a $1$-point Quadrature domain (the Bergman span contains all holomorphic polynomials) of order $1$ whenever $D_2$ is a balanced domain. Bell conjectured that all $1$-point Quadrature domains arise in this manner. In this note, we construct a $1$-point Quadrature domain of order $1$ that is not biholomorphic to any balanced domain." @default.
- W2912236755 created "2019-02-21" @default.
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- W2912236755 date "2018-07-23" @default.
- W2912236755 modified "2023-09-27" @default.
- W2912236755 title "A $1$-point Quadrature domain of order $1$ not biholomorphic to a balanced domain" @default.
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