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The Carath\'eodory-Fej\'er interpolation problem for the polydisc by Gupta, Rajeev; Misra, Gadadhar is a scholarly article available to read on EtoBox.

What is The Carath\'eodory-Fej\'er interpolation problem for the polydisc about?

We give an algorithm for finding a solution to the Carath\'{e}odory-Fej\'{e}r interpolation problem on the polydisc $\mathbb D^n,$ whenever it 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 Kor\'{a}nyi--Puk\'{a}nszky theorem is given using the spectral theorem.

Author

Gupta, Rajeev; Misra, Gadadhar

Published

2016

Language

EN