Christopher Meaney, Elena Prestini
Abstract
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We combine results of Giulini and Mauceri and our earlier work to obtain an almost-everywhere convergence result for the Bochner-Riesz means of the inverse spherical transform of bi-invariant L p functions on a noncompact rank one Riemannian symmetric space.Following a technique of Kanjin, we show that this result is sharp.
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We combine results of Giulini and Mauceri and our earlier work to obtain an almost-everywhere convergence result for the Bochner-Riesz means of the inverse spherical transform of bi-invariant L p functions on a noncompact rank one Riemannian symmetric space.Following a technique of Kanjin, we show that this result is sharp.
Key concepts: Mathematics, Riesz transform, Pure mathematics, Triple system, Riesz potential, Mathematical analysis