4 papers
An analogue of Ingham's theorem on the Heisenberg group
Sayan Bagchi, Pritam Ganguly, Jayanta Sarkar +1
We prove an exact analogue of Ingham's uncertainty principle for the group Fourier transform on the Heisenberg group. This is accomplished by explicitly constructing compactly supp…
On theorems of Chernoff and Ingham on the Heisenberg group
Sayan Bagchi, Pritam Ganguly, Jayanta Sarkar +1
We prove an analogue of Chernoff's theorem for the sublaplacian on the Heisenberg group and use it prove a version of Ingham's theorem for the Fourier transform on the same group.
Roe- Strichartz Theorem on Two Step Nilpotent Lie Groups
Sayan Bagchi, Ashisha Kumar, Suparna Sen
Strichartz characterized eigenfunctions of the Laplacian on Euclidean spaces by boundedness conditions which generalized a result of Roe for the one-dimensional case. He also prove…
On the maximal function associated to the spherical means on the Heisenberg group
S. Bagchi, S. Hait, L. Roncal +1
In this paper we deal with lacunary and full versions of the spherical maximal function on the Heisenberg group , for . By suitable adaptation of an approach…