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2009/2010 An Application of the Hardy-Littlewood Tauberian Theorem to Harmonic Expansion of a Complex Measure on the Sphere
Yifei Pan, Mei Wang
Real Anal. Exchange 35(2): 517-524 (2009/2010).

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.

Citation

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Yifei Pan. Mei Wang. "An Application of the Hardy-Littlewood Tauberian Theorem to Harmonic Expansion of a Complex Measure on the Sphere." Real Anal. Exchange 35 (2) 517 - 524, 2009/2010.

Information

Published: 2009/2010
First available in Project Euclid: 22 September 2010

MathSciNet: MR2683617

Subjects:
Primary: 33C55 , 40E05
Secondary: 30C85

Keywords: complex measures , Spherical harmonics , Tauberian theorem , zonal functions

Rights: Copyright © 2009 Michigan State University Press

Vol.35 • No. 2 • 2009/2010
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