Open Access
VOL. 41 | 2003 Divergent sums of spherical harmonics
Chapter Author(s) Christopher Meaney
Editor(s) Xuan Thinh Duong, Alan Pryde
Proc. Centre Math. Appl., 2003: 110-117 (2003)

Abstract

We combine the Cantor-Lebesgue Theorem and Uniform Boundedness Principle to prove a divergence result for Cesàro and Bochner-Riesz means of spherical harmonic expansions.

Information

Published: 1 January 2003
First available in Project Euclid: 18 November 2014

zbMATH: 1151.42312
MathSciNet: MR1994519

Rights: Copyright © 2003, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

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