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math.FA2024
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…
math.CA2024
-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…