Segal-Bargmann transform and Paley-Wiener theorems on M(2)

Narayanan, EK and Sen, Suparna (2010) Segal-Bargmann transform and Paley-Wiener theorems on M(2). In: Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 120 (2). pp. 169-183.

Preview

PDF segal.pdf - Published Version Download (171kB)

Abstract

We study the Segal-Bargmann transform on M(2). The range of this transform is characterized as a weighted Bergman space. In a similar fashion Poisson integrals are investigated. Using a Gutzmer's type formula we characterize the range as a class of functions extending holomorphically to an appropriate domain in the complexification of M(2). We also prove a Paley-Wiener theorem for the inverse Fourier transform.

Item Type:	Journal Article
Publication:	Proceedings of the Indian Academy of Sciences - Mathematical Sciences
Publisher:	Indian Academy of Sciences
Additional Information:	Copyright of this article belongs to Indian Academy of Sciences.
Keywords:	Segal-Bargmann transform; Poisson integrals; Paley-Wiener theorem.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	20 Sep 2010 09:08
Last Modified:	20 Sep 2010 09:08
URI:	http://eprints.iisc.ac.in/id/eprint/32246

Actions (login required)

View Item