Chandel, Vikramjeet Singh (2018) The three-point Pick-Nevanlinna interpolation problem on the polydisc. In: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 63 (9). pp. 1341-1352.
Full text not available from this repository. (Request a copy)Abstract
We give a necessary and sufficient condition for the existence of a holomorphic interpolant, for prescribed three-point Pick-Nevanlinna data. This is equivalent, due to results of Agler-McCarthy and Knese, to the existence of an interpolating rational inner function on the unit polydisc. Characterizing the latter reduces the search for a three-point interpolant to finding a single rational inner function that satisfies a certain positivity condition and arises from a polynomial of a very special form. This in turn relies on a pair of results on the factorization of rational inner functions.
| Item Type: | Journal Article |
|---|---|
| Publication: | COMPLEX VARIABLES AND ELLIPTIC EQUATIONS |
| Publisher: | TAYLOR & FRANCIS LTD, 2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND |
| Additional Information: | Copyright of this article belong to TAYLOR & FRANCIS LTD, 2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 20 Jul 2018 16:37 |
| Last Modified: | 20 Jul 2018 16:37 |
| URI: | http://eprints.iisc.ac.in/id/eprint/60263 |
Actions (login required)
 |
View Item |
