7 papers · 1 filter
Sharp Adams type inequalities for the fractional Laplace-Beltrami operator on noncompact symmetric spaces
Mithun Bhowmik
We establish sharp Adams type inequalities on Sobolev spaces of any fractional order on Riemannian symmetric space of noncompact type with dimension …
An extension problem and Hardy's inequality for the fractional Laplace-Beltrami operator on Riemannian symmetric spaces of noncompact type
Mithun Bhowmik, Sanjoy Pusti
In this paper we study an extension problem for the Laplace-Beltrami operator on Riemannian symmetric spaces of noncompact type and use the solution to prove Hardy-type inequalitie…
Analogs of certain quasi-analiticity results on Riemannian symmetric spaces of noncompact type
Mithun Bhowmik, Sanjoy Pusti, Swagato K. Ray
An version of the celebrated Denjoy-Carleman theorem regarding quasi-analytic functions was proved by Chernoff \cite{CR} on using iterates of the Laplacian. In…
Improved Ingham-type result on and on connected, simply connected nilpotent Lie Groups
Mithun Bhowmik
In \cite{BRS} we have characterized the existance of a non zero function vanishing on an open set in terms of the decay of it's Fourier transform on the -dimensional Euclidean s…
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…