Study of twisted Bargmann transform via Bargmann transform

Bais, Shubham R. and Dogga, Venku Naidu (2021) Study of twisted Bargmann transform via Bargmann transform. Forum Mathematicum, 33 (6). pp. 1659-1670. ISSN 0933-7741

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Abstract

In the present article,we give an alternate and easier proof for the image characterization of L2(R2n) under the twisted Bargmann transform which was earlier studied by Krontz, Thangavelu and Xu. As a consequence, we study some properties of the twisted Bergman spaces for 0 < p ≤ ∞ and the Lp-boundedness of the twisted Bargmann transform, 1 ≤ p ≤ ∞. We also study Lp-boundedness of the twisted Bargmann projection Pt and the duality relations between the spaces Bpt(ℂ 2n), 1 < p < ∞. © 2021 Walter de Gruyter GmbH, Berlin/Boston

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IITH Creators:	IITH Creators ORCiD Dogga, Venku Naidu UNSPECIFIED
Item Type:	Article
Uncontrolled Keywords:	Bargmann projection; Bargmann transform; Duality; Fock space; Twisted bargmann projection; Twisted bargmann transform; Twisted bergman space
Subjects:	Mathematics
Divisions:	Department of Mathematics
Depositing User:	. LibTrainee 2021
Date Deposited:	01 Oct 2022 05:19
Last Modified:	01 Oct 2022 05:19
URI:	http://raiithold.iith.ac.in/id/eprint/10755
Publisher URL:	http://doi.org/10.1515/forum-2021-0113
OA policy:	https://v2.sherpa.ac.uk/id/publication/405
Related URLs:	Author Google Scholar

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