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On the L4 norm of spherical harmonics

Published online by Cambridge University Press:  24 October 2008

Robert J. Stanton  and
Alan Weinstein
Robert J. Stanton
Affiliation:
Rice University, Texas and University of California at Berkeley
Alan Weinstein
Affiliation:
Rice University, Texas and University of California at Berkeley
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Abstract

It is shown that, among all the L2 normalized spherical harmonics of a given degree, the L4 norm is locally maximized by the ‘highest weight’ function .

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 89 , Issue 2 , March 1981 , pp. 343 - 358
Copyright
Copyright © Cambridge Philosophical Society 1981

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