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- Schwartz spaces on split rank one semisimple symmetric spaces
Sanjoy Pusti, Iswarya Sitiraju
We study the left -invariant -Schwartz space and its Fourier transform on split rank one semisimple symmetric spaces for . We explicitly determine the kern…
Weighted Norm Inequalities for the Strichartz Fourier transform on the Heisenberg Group
Aparajita Dasgupta, Prerna Gulia, Sanjoy Pusti +1
In this article, we establish an analogue of Pitt's inequality for the Strichartz Fourier transform on the Heisenberg group . By exploiting the scalar-valued formulat…
Some Versions of Beurling's Theorem on H-type Groups
Aparajita Dasgupta, Prerna Gulia, Sanjoy Pusti +1
We prove an analogue of Beurling's theorem on the H-type groups of certain dimensions after establishing the Gutzmer's formula for the H-type groups. We also obtain some other vers…
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…