Rudra P. Sarkar

activity

20042025

most citedChaotic behaviour of the Fourier multipliers on Riemannian symmetric spaces of noncompact type

2 citations · 7 across the 18 of their papers we have counts for

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11 papers · 1 filter

math.FA2021

Quasi-analytic $L^{p}$ -functions on Riemannian symmetric spaces of noncompact type, a theorem of Chernoff

Rudra P. Sarkar

A result of Chernoff gives sufficient condition for an $L^{2}$ -function on $R^{n}$ to be quasi-analytic. This is a generalization of the classical Denjoy-Carleman theorem on $R$ and…

math.FA2020

Asymptotic mean value property for eigenfunctions of the Laplace-Beltrami operator on Damek-Ricci spaces

Muna Naik, Rudra P. Sarkar

Let $S$ be a Damek-Ricci space equipped with the Laplace-Beltrami operator $Δ$ . In this paper we characterize all eigenfunctions of $Δ$ through sphere, ball and shell averages as t…

math.FA2018★ 2 cited

Chaotic behaviour of the Fourier multipliers on Riemannian symmetric spaces of noncompact type

Swagato K. Ray, Rudra P. Sarkar

Let $X$ be a Riemannian symmetric space of noncompact type and $T$ be a linear translation-invariant operator which is bounded on $L^{p} (X)$ . We shall show that if $T$ is not a const…

math.FA2014

Function with its Fourier transform supported on annulus and eigenfunction of Laplacian

Rudra P Sarkar

We explore the possibilities of reaching the characterization of eigenfunction of Laplacian as a degenerate case of the inverse Paley-Wiener theorem (characterizing functions whose…

math.FA2012

A theorem of Roe and Strichartz for Riemannian symmetric spaces of noncompact type

Swagato K. Ray, Rudra P. Sarkar

Generalizing a result of Roe \cite{Roe} Strichartz proved in \cite{Str} that if a doubly-infinite sequence ${f_{k}}$ of functions on $R^{n}$ satisfies $f_{k + 1} = Δ f_{k}$ and $|f_{k}(x)|…

math.FA2012★ 2 cited

Characterization of almost $L^{p}$ -eigenfunctions of the Laplace-Beltrami operator

Pratyoosh Kumar, Swagato K. Ray, Rudra P. Sarkar

In \cite{Roe} Roe proved that if a doubly-infinite sequence ${f_{k}}$ of functions on $R$ satisfies $f_{k + 1} = (d f_{k} / d x)$ and $∣ f_{k} (x) ∣ \leq M$ for all $k = 0, \pm 1, \pm 2, ...$ and…

math.FA2011

Chaotic Dynamics of the heat semigroup on the Damek-Ricci spaces

Rudra P Sarkar

The Damek-Ricci spaces are solvable Lie groups and noncompact harmonic manifolds. The rank one Riemannian symmetric spaces of noncompact type sits inside it as a thin subclass. In…

math.FA2011

Note on a result of Kerman and Weit

Swagato K. Ray, Rudra P. Sarkar

A result in \cite{Ker-Weit} states that a real valued continuous function $f$ on the circle and its nonnegative integral powers can generate a dense translation invariant subspace…

math.FA2008

A Theorem of Beurling and Hörmander on Damek-Ricci Spaces

Swagato K. Ray, Rudra P. Sarkar

This paper has been withdrawn by the authors, due to the requirement of the Journal where a modified version will be published.

math.FA2006★ 1 cited

Beurling's Theorem for $S L (2, R)$

Rudra p Sarkar, Jyoti Sengupta

We prove Beurling's theorem for the full group $S L (2, R)$ . This is the {\em master theorem} in the quantitative uncertainty principle as all the other theorems of this genre follow…

math.FA2005★ 1 cited

Beurling's Theorem and characterization of heat kernel for Riemannian Symmetric spaces of noncompact type

Rudra P Sarkar, Jyoti Sengupta

We prove Beurling's theorem for rank 1 Riemmanian symmetric spaces and relate it to the characterization of the heat kernel of the symmetric space.

Quasi-analytic Lp-functions on Riemannian symmetric spaces of noncompact type, a theorem of Chernoff

Asymptotic mean value property for eigenfunctions of the Laplace-Beltrami operator on Damek-Ricci spaces

Chaotic behaviour of the Fourier multipliers on Riemannian symmetric spaces of noncompact type

Function with its Fourier transform supported on annulus and eigenfunction of Laplacian

A theorem of Roe and Strichartz for Riemannian symmetric spaces of noncompact type

Characterization of almost Lp-eigenfunctions of the Laplace-Beltrami operator

Chaotic Dynamics of the heat semigroup on the Damek-Ricci spaces

Note on a result of Kerman and Weit

A Theorem of Beurling and Hörmander on Damek-Ricci Spaces

Beurling's Theorem for SL(2,R)

Beurling's Theorem and characterization of heat kernel for Riemannian Symmetric spaces of noncompact type

Quasi-analytic $L^{p}$ -functions on Riemannian symmetric spaces of noncompact type, a theorem of Chernoff

Characterization of almost $L^{p}$ -eigenfunctions of the Laplace-Beltrami operator

Beurling's Theorem for $S L (2, R)$