An analogue of Pfannschmidt's theorem for the Heisenberg group

Thangavelu, S (2018) An analogue of Pfannschmidt's theorem for the Heisenberg group. In: Journal of Analysis, 26 (2). pp. 235-244.

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Abstract

We prove an analogue of Pfannschmidt's uncertainty principle for the group Fourier transform on the Heisenberg group. Gutzmer's formula for the Hermite expansions plays an important role in the proof.

Item Type:	Journal Article
Publication:	Journal of Analysis
Publisher:	Springer Science and Business Media B.V.
Additional Information:	The copyright for this article belongs to Springer Science and Business Media B.V.
Keywords:	Fourier transform; Gutzmer’s formula; Hardy’s theorem; Heisenberg group; Hermite functions
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	04 Aug 2022 05:56
Last Modified:	04 Aug 2022 05:56
URI:	https://eprints.iisc.ac.in/id/eprint/75060

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