Amitava Samanta

activity

20102016

most citedWiener Tauberian theorem for rank one semisimple Lie groups

1 citations · 1 across the 5 of their papers we have counts for

collaborators

6 papers

math.RT2016

Spherical analysis on homogeneous vector bundles

Fulvio Ricci, Amit Samanta

Given a Lie group $G$ , a compact subgroup $K$ and a representation $τ \in K^$ , we assume that the algebra of $End (V_{τ})$ -valued, bi- $τ$ -equivariant, integrable functions on…

math.FA2015

Wiener Tauberian theorem for hypergeometric transforms

Sanjoy Pusti, Amit Samanta

We prove a genuine analogue of Wiener Tauberian theorem for hypergeometric transforms. As an application we prove analogue of Furstenberg theorem on Harmonic functions.

math.FA2015★ 1 cited

Wiener Tauberian theorem for rank one semisimple Lie groups

Sanjoy Pusti, Amit Samanta

We prove a genuine analogue of Wiener Tauberian theorem for $L^{1} (G // K)$ , where G is a semisimple Lie group of real rank one. This generalizes the corresponding result on the automo…

math.FA2015

Properties of singular integral operators $S_{α, β}$

Amit Samanta, Santanu Sarkar

For $α, β \in L^{\infty} (S^{1}),$ the singular integral operator $S_{α, β}$ on $L^{2} (S^{1})$ is defined by $S_{α, β} f := α P f + β Q f$ , where $P$ denotes the orthogonal projection of $L^2(S^1)…

math.RT2012

Hecke-Bochner identity and eigenfunctions associated to Gelfand pairs on the Heisenberg group

Amit Samanta

Let $H^{n}$ be the $(2 n + 1)$ -dimensional Heisenberg group, and let $K$ be a compact subgroup of U(n), such that $(K, H^{n})$ is a Gelfand pair. Also assume that the…

math.FA2010

Support theorem on R^n and non compact symmetric spaces

E. K. Narayanan, Amit Samanta

We consider convolution equations of the type f * T = g where f, g are in L^p(R^n) and T is a compactly supported distribution. Under natural assumptions on the zero set of the Fou…