Qualitative uncertainty principle for Gabor transform
Bull. Korean Math. Soc. 2017 Vol. 54, No. 1, 71-84
Published online January 10, 2017
Printed January 31, 2017
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
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