3 citations · 8 across the 8 of their papers we have counts for
8 papers
Completeness of Exponentials and Beurling's Theorem on and
Santanu Debnath, Suparna Sen
A classical result of Arne Beurling states that the Fourier transform of a nonzero complex Borel measure on the real line cannot vanish on a set of positive Lebesgue measure if…
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 Heisenberg motion groups
Suparna Sen
We study the Segal-Bargmann transform on the Heisenberg motion groups where is the Heisenberg group and is a compact subgroup of …
Segal-Bargmann Transform and Paley-Wiener Theorems on Motion Groups
Suparna Sen
We study the Segal-Bargmann transform on a motion group Rn n K; where K is a compact subgroup of SO(n): A characterization of the Poisson integrals associated to the Laplacian on R…
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…