5 papers
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…
- 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…
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…
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…
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…