5 papers
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…
Uncertainty Principles of Ingham and Paley-Wiener on Semisimple Lie Groups
Mithun Bhowmik, Suparna Sen
Classical results due to Ingham and Paley-Wiener characterize the existence of nonzero functions supported on certain subsets of the real line in terms of the pointwise decay of th…
An Uncertainty Principle of Paley and Wiener on Euclidean Motion Group
Mithun Bhowmik, Suparna Sen
A classical result due to Paley and Wiener characterizes the existence of a non-zero function in , supported on a half line, in terms of the decay of its Fourier t…
Around Uncertainty Principles of Ingham-type on , $\T^n$ and Two Step Nilpotent Lie Groups
Mithun Bhowmik, Swagato K. Ray, Suparna Sen
Classical results due to Ingham and Paley-Wiener characterize the existence of nonzero functions supported on certain subsets of the real line in terms of the pointwise decay of th…
Segal-Bargmann transform and Paley-Wiener theorems on
E. K. Narayanan, Suparna Sen
We study the Segal-Bargmann transform on The range of this transform is characterized as a weighted Bergman space. In a similar fashion Poisson integrals are studied. Using…