P. Ratnakumar

most citedBenedick's theorem for the Heisenberg group

8 citations · 8 across the 2 of their papers we have counts for

collaborators

2 papers

math.FA2020

Translation and modulation invariant Hilbert spaces

Joachim Toft, Anupam Gumber, Ramesh Manna +1

We show that for any Hilbert space of distributions on $R^{d}$ which is translation and modulation invariant, is equal to $L^{2} (R^{d})$ , with the same norm apart from…

math.FA2009★ 8 cited

Benedick's theorem for the Heisenberg group

E. K. Narayanan, P. K. Ratnakumar

If $f$ is a compactly supported function on the Heisenberg group and the group Fourier transform $f^(λ)$ is a finite rank operator for all $λ$ then $f$ is the zero function.