Sanjoy Pusti

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math.FA2026

$L^{r}$ - Schwartz spaces on split rank one semisimple symmetric spaces

Sanjoy Pusti, Iswarya Sitiraju

We study the left $K$ -invariant $L^{r}$ -Schwartz space and its Fourier transform on split rank one semisimple symmetric spaces $G / H$ for $0 < r \leq 2$ . We explicitly determine the kern…

math.FA2026

Boundedness of Eisenstein integrals on split rank one semisimple symmetric spaces

Sanjoy Pusti, Iswarya Sitiraju

We characterise the bounded left $K$ -invariant normalized Eisenstein integrals on split rank one semisimple symmetric spaces. As a consequence we prove Hausdorff-Young inequality o…

math.FA2026

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 $H^{n}$ . By exploiting the scalar-valued formulat…

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…

Lr- Schwartz spaces on split rank one semisimple symmetric spaces

Boundedness of Eisenstein integrals on split rank one semisimple symmetric spaces

Weighted Norm Inequalities for the Strichartz Fourier transform on the Heisenberg Group

Some Versions of Beurling's Theorem on H-type Groups

$L^{r}$ - Schwartz spaces on split rank one semisimple symmetric spaces