The Carathéodory–Fejér interpolation on the polydisc

Gupta, R and Misra, G (2020) The Carathéodory–Fejér interpolation on the polydisc. In: Studia Mathematica, 254 (3). pp. 265-293.

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Abstract

We give an algorithm for finding a solution to the Carathéodory–Fejér interpolation problem on the polydisc, whenever a solution exists. A necessary condition for the existence of a solution becomes apparent from this algorithm. A generalization of the well-known theorem due to Nehari has been obtained. A proof of the Korányi–Pukánszky theorem also follows from these ideas.

Item Type:	Journal Article
Publication:	Studia Mathematica
Publisher:	Institute of Mathematics. Polish Academy of Sciences
Additional Information:	The copyright for this article belongs to Institute of Mathematics. Polish Academy of Sciences.
Keywords:	Carathéodory–Fejér interpolation; Complete polynomially extendible; D-slice ordering; Korányi–Pukánszky theorem; Nehari’s theorem; von Neumann inequality
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	07 Feb 2023 11:06
Last Modified:	07 Feb 2023 11:06
URI:	https://eprints.iisc.ac.in/id/eprint/80018

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