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arXiv:0909.1620 [math.FA]AbstractReferencesReviewsResources

Benedick's theorem for the Heisenberg group

E. K. Narayanan, P. K. Ratnakumar

Published 2009-09-09Version 1

If $f$ is a compactly supported function on the Heisenberg group and the group Fourier transform $\hat{f}(\lambda)$ is a finite rank operator for all $\lambda$ then $f$ is the zero function.

Categories: math.FA
Subjects: 42B10
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