1 citations · 5 across the 16 of their papers we have counts for
17 papers
Spherical maximal operators on rank one Riemannian symmetric spaces of noncompact type
Subir Dakshi, Sanjoy Pusti
The spherical maximal operator of order was introduced by El Kohen in the setting of real hyperbolic spaces, where its -boundedness properties were studied. In this paper,…
- 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…
Regularity and pointwise convergence for dispersive equations on Riemannian symmetric spaces of compact type
Utsav Dewan, Sanjoy Pusti
In this article, we first prove that for general dispersive equations on Riemannian symmetric spaces of compact type , of rank and , the Sobolev regularity t…
Boundedness of Eisenstein integrals on split rank one semisimple symmetric spaces
Sanjoy Pusti, Iswarya Sitiraju
We characterise the bounded left -invariant normalized Eisenstein integrals on split rank one semisimple symmetric spaces. As a consequence we prove Hausdorff-Young inequality o…
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…
Weighted Fourier inequalities and application of restriction theorems on rank one Riemannian symmetric spaces of noncompact type
Pratyoosh Kumar, Sanjoy Pusti, Tapendu Rana +1
This article explores weighted inequalities for the Fourier transform in rank one Riemannian symmetric spaces of noncompact type. We establish both necessary and suffi…
-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…
Wiener Tauberian theorem for hypergeometric transforms
Sanjoy Pusti, Amit Samanta
We prove a genuine analogue of Wiener Tauberian theorem for hypergeometric transforms. As an application we prove analogue of Furstenberg theorem on Harmonic functions.
Wiener Tauberian theorem for rank one semisimple Lie groups
Sanjoy Pusti, Amit Samanta
We prove a genuine analogue of Wiener Tauberian theorem for , where G is a semisimple Lie group of real rank one. This generalizes the corresponding result on the automo…
Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications
E. K. Narayanan, A. Pasquale, S. Pusti
A series expansion for Heckman-Opdam hypergeometric functions is obtained for all As a consequence, estimates for away from the walls…
An analogue of Bochner's theorem for Damek-Ricci spaces
Sanjoy Pusti
We characterize the image of radial positive measures 's on a harmonic group which satisfies under the spherical transform, where is…