Pratyoosh Kumar

activity

20122020

most citedFourier restriction Theorem and characterization of weak

L^{2}

eigenfunctions of the Laplace--Beltrami operator

9 citations · 12 across the 5 of their papers we have counts for

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math.FA2012★ 9 cited

Fourier restriction Theorem and characterization of weak $L^{2}$ eigenfunctions of the Laplace--Beltrami operator

Pratyoosh Kumar

In this paper we prove the Fourier restriction theorem for $p = 2$ on Riemannian symmetric spaces of noncompact type with real rank one which extends the earlier result proved in \ci…

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…

Fourier restriction Theorem and characterization of weak L2 eigenfunctions of the Laplace--Beltrami operator

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

Fourier restriction Theorem and characterization of weak $L^{2}$ eigenfunctions of the Laplace--Beltrami operator

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