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math.FA2022★ 6 cited
Function theory on quotient domains related to the polydisc
Mainak Bhowmik, Poornendu Kumar
Inner functions are the backbone of holomorphic function theory. This paper studies the inner functions on quotient domains of the open unit polydisc, $\bD^d$, arising from the gro…
math.CV2022
Rational penta-inner functions and the distinguished boundary of the pentablock
Abhay Jindal, Poornendu Kumar
In this note, we give a description of rational maps from the open unit disc to the pentablock that map the boundary of to the distinguished boundary of t…
math.CV2022★ 2 cited
A dilation theoretic approach to approximation by inner functions
Daniel Alpay, Tirthankar Bhattacharyya, Abhay Jindal +1
Using results from theory of operators on a Hilbert space, we prove approximation results for matrix-valued holomorphic functions on the unit disc and the unit bidisc. The essentia…