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Pdf | we prove a genuine analogue of wiener tauberian theorem for hypergeometric transforms. As an application we prove analogue of furstenberg theorem on harmon Sanjoy pusti and amit samanta abstract

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We prove a genuine analogue of wiener tauberian Introduction wiener tauberian theorem for hypergeometric transforms amit sama transforms As an application we prove analogue of fu.

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We prove a genuine analogue of wiener tauberian theorem for hypergeometric transforms

As an application we prove analogue of furstenberg theorem on harmonic functions. We extend this result for hypergeometric transforms and as an application we prove an analogue of furstenberg theorem on harmonic functions for hypergeometric transforms. Tauber’s innocent looking theorem was the start of a veritable tauberian jungle of results which korevaar, in a recent book, made a very worthwhile effort to organize and present in a coherent manner The book’s 483 pages are densely packed and there are around 800 references.

In this paper, we prove a genuine analogue of the wiener tauberian theorem for lp,1 (g) l p, 1 (g) (1 ≤ p <2 1 ≤ p <2), with g = sl (2,r) g = sl (2, ℝ) Wiener’s tauberian theorem is a cornerstone of harmonic analysis In short, it analyses the asymptotic properties of a bounded function by testing it with convolution kernels.