Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2017; 54(1): 71-84

Online first article January 10, 2017      Printed January 31, 2017

https://doi.org/10.4134/BKMS.b150690

Copyright © The Korean Mathematical Society.

Qualitative uncertainty principle for Gabor transform

Ashish Bansal and Ajay Kumar

Keshav Mahavidyalaya (University of Delhi), University of Delhi

Abstract

We discuss the qualitative uncertainty principle for Gabor transform on certain classes of the locally compact groups, like abelian groups, $\R^n\times K$, $K \ltimes \R^n$ where $K$ is compact group. We shall also prove a weaker version of qualitative uncertainty principle for Gabor transform in case of compact groups.

Keywords: qualitative uncertainty principle, Fourier transform, continuous Gabor transform, reproducing kernel Hilbert space

MSC numbers: Primary 43A30; Secondary 22D99, 22E25