On the L4 norm of spherical harmonics
- 1 March 1981
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 89 (2) , 343-358
- https://doi.org/10.1017/s0305004100058229
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 .Keywords
This publication has 2 references indexed in Scilit:
- Error bounds for the Liouville–Green (or WKB) approximationMathematical Proceedings of the Cambridge Philosophical Society, 1961
- Nondegenerate Critical ManifoldsAnnals of Mathematics, 1954