Pranav Haridas

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20142026

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math.CV2018

A $1$ -point Quadrature domain of order $1$ not biholomorphic to a balanced domain

Pranav Haridas, Jaikrishnan Janardhanan

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 cont…

math.CV2018

A note on the smoothness of the Minkowski function

Pranav Haridas, Jaikrishnan Janardhanan

The Minkowski function is a crucial tool used in the study of balanced domains and, more generally, quasi-balanced domains in several complex variables. If a quasi-balanced domain…

A 1-point Quadrature domain of order 1 not biholomorphic to a balanced domain

A note on the smoothness of the Minkowski function

A $1$ -point Quadrature domain of order $1$ not biholomorphic to a balanced domain