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math.CA2021
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…
math.FA2021
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…