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6 papers
-boundedness of Pseudo differential operators on rank one Riemannian symmetric spaces of noncompact type
Sanjoy Pusti, Tapendu Rana
The aim of this paper is to study -boundedness property of the pseudo differential operator associated with a symbol, on rank one Riemannian symmetric spaces of noncompact typ…
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…
Ramanujan's master theorem for Sturm-Liouville operator
Jotsaroop Kaur, Sanjoy Pusti
In this paper we prove an analogue of Ramanujan's master theorem in the setting of Sturm Liouville operator.
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…
Ramanujan's master theorem for radial sections of line bundle over noncompact symmetric spaces
Sanjoy Pusti, Swagato K Ray
We prove analogues of Ramanujan's Master theorem for the radial sections of the line bundles over the Poincaré upper half plane and over the com…