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Fatou theorem and its converse for positive eigenfunctions of the Laplace-Beltrami operator on Harmonic groups
Swagato K. Ray, Jayanta Sarkar
We prove a Fatou-type theorem and its converse for certain positive eigenfunctions of the Laplace-Beltrami operator on a Harmonic group. We show that a positive…
math.CA2021
A note on -point and nontangential convergence
Jayanta Sarkar
In this article, we generalize a theorem of Victor L. Shapiro concerning nontangential convergence of the Poisson integral of a -function. We introduce the notion of -point…