Giri, DK and Srivastava, RK (2022) Heisenberg Uniqueness Pairs for the Finitely Many Parallel Lines with an Irregular Gap. In: Journal of Fourier Analysis and Applications, 28 (2).
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Abstract
Let X(�) be the space of all finite Borel measure μ in R2 which is supported on the smooth curve� and absolutely continuous with respect to the arc length on �. For � � R2, the pair (� , �) is called a Heisenberg uniqueness pair for X(�) if any μ� X(�) satisfies μ | �= 0 , implies μ= 0. We prove a characterization of the Heisenberg uniqueness pairs corresponding to finitely many parallel lines with an irregular gap. We observe that the size of the determining sets � for X(�) depends on the number of lines and their irregular distribution that further relates to a phenomenon of the interlacing of certain trigonometric polynomials. © 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
Item Type: | Journal Article |
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Publication: | Journal of Fourier Analysis and Applications |
Publisher: | Birkhauser |
Additional Information: | The copyright for this article belongs to Birkhauser |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 17 May 2022 06:54 |
Last Modified: | 17 May 2022 06:54 |
URI: | https://eprints.iisc.ac.in/id/eprint/71763 |
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