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

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Showing 2015 · math.FAShow all

3 papers · 2 filters

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)…

Wiener Tauberian theorem for hypergeometric transforms

Wiener Tauberian theorem for rank one semisimple Lie groups

Properties of singular integral operators Sα,β​

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