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math.AP2025
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…
math.FA2025
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…
math.FA2025
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…