3 citations · 5 across the 11 of their papers we have counts for
13 papers
Quantitative uniqueness properties for functions on compact quasi-analytic manifolds
Mithun Bhowmik, Sanjib Pradhan
In this article, we establish quantitative uniqueness results for a class of functions defined on a quasi-analytic compact manifold without boundary. This function class is cha…
Uniqueness results for quasi-analytic functions on compact Lie groups and homogeneous spaces
Mithun Bhowmik, Sanjib Pradhan
In this article, we establish a quantitative uniqueness theorem for quasi-analytic functions defined on compact, connected Lie groups and on homogeneous spaces , where …
Spectral projections and resolvent estimates on Damek-Ricci spaces and their applications
Mithun Bhowmik, Utsav Dewan
We prove boundedness of spectral projections and the resolvent of the Laplace-Beltrami operator on Damek-Ricci spaces with the explicit norms in terms of the spe…
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 …
A theorem of Chernoff on quasi-analytic functions for Riemannian symmetric spaces
Mithun Bhowmik, Sanjoy Pusti, Swagato K Ray
An version of the classical Denjoy-Carleman theorem regarding quasi-analytic functions was proved by P. Chernoff on using iterates of the Laplacian. We give a s…
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…