3 citations · 12 across the 15 of their papers we have counts for
16 papers
Mapping properties of the Schrödinger maximal function on Damek--Ricci spaces
Utsav Dewan, Swagato K. Ray
For , the collection of radial -Schwartz class functions on Damek--Ricci spaces , we consider the Schrödinger maximal function…
-asymptotic behaviour of solutions of the heat equation on Riemannian symmetric spaces of noncompact type
Muna Naik, Swagato K. Ray, Jayanta Sarkar
For Riemannian symmetric spaces of noncompact type, we show that for all left -invariant , the functions (with…
Fatou theorem and its converse for positive eigenfunctions of the Laplace-Beltrami operator on Harmonic groups
Swagato K. Ray, Jayanta Sarkar
We prove a Fatou-type theorem and its converse for certain positive eigenfunctions of the Laplace-Beltrami operator on a Harmonic group. We show that a positive…
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…
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…