Heisenberg uniqueness pairs for the hyperbola

Giri, DK and Rawat, R (2020) Heisenberg uniqueness pairs for the hyperbola. In: Bulletin of the London Mathematical Society, 53 (1). pp. 16-25.

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Abstract

Let (Formula presented.) be the hyperbola (Formula presented.) and (Formula presented.) be the lattice-cross defined by (Formula presented.) in (Formula presented.), where (Formula presented.) is a positive real. A result of Hedenmalm and Montes-Rodríguez says that (Formula presented.) is a Heisenberg uniqueness pair if and only if (Formula presented.). In this paper, we show that for a rational perturbation of (Formula presented.), namely (Formula presented.) where (Formula presented.) and (Formula presented.) is a positive real, the pair (Formula presented.) is a Heisenberg uniqueness pair if and only if (Formula presented.). © 2020 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.

Item Type:	Journal Article
Publication:	Bulletin of the London Mathematical Society
Publisher:	John Wiley and Sons Ltd.
Additional Information:	The copyright of this article belongs to John Wiley and Sons Ltd.
Keywords:	37A45 (secondary); 42A10; 42B10 (primary)
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	07 Apr 2021 11:31
Last Modified:	10 Oct 2022 05:43
URI:	https://eprints.iisc.ac.in/id/eprint/66194

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