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.
Ashish Bansal and Ajay Kumar
Keshav Mahavidyalaya (University of Delhi), University of Delhi
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
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