An Application of the Hardy-Littlewood Tauberian Theorem to Harmonic Expansion of a Complex Measure on the Sphere
Yifei Pan and Mei Wang
Source: Real Anal. Exchange Volume 35, Number 2
(2009), 517-524.
Abstract
We apply Hardy-Littlewood's Tauberian theorem to obtain an estimate on the harmonic expansion of a complex measure on the unit sphere, using a monotonicity property for positive harmonic functions.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.rae/1285160550
Mathematical Reviews number (MathSciNet): MR2683617
Zentralblatt MATH identifier: 05904838
References
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Zentralblatt MATH: 0506.47014
Digital Object Identifier: doi:10.1016/0022-1236(82)90042-8
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