Das, BK and Kumar, P and Sau, H (2023) DETERMINING SETS FOR HOLOMORPHIC FUNCTIONS ON THE SYMMETRIZED BIDISK. In: Canadian Mathematical Bulletin .
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Abstract
A subset D of a domain Ω ⊂ Cdis determining for an analytic function f: Ω → D if whenever an analytic function g: Ω → D coincides with f on D, equals to f on whole Ω. This note finds several sufficient conditions for a subset of the symmetrized bidisk to be determining. For any N ≥ 1, a set consisting of N2-N +1 many points is constructed which is determining for any rational inner function with a degree constraint. We also investigate when the intersection of the symmetrized bidisk intersected with some special algebraic varieties can be determining for rational inner functions.
| Item Type: | Journal Article |
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| Publication: | Canadian Mathematical Bulletin |
| Publisher: | Cambridge University Press |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 21 Feb 2023 03:38 |
| Last Modified: | 21 Feb 2023 03:38 |
| URI: | https://eprints.iisc.ac.in/id/eprint/80557 |
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