Re: Spherical Harmonics
- To: mathgroup at smc.vnet.net
- Subject: [mg31589] Re: Spherical Harmonics
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Thu, 15 Nov 2001 05:52:23 -0500 (EST)
- Organization: Universitaet Leipzig
- References: <9stat2$3bf$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Hi, you don't like the Fourier expansion a[n,l,m]=Integrate[f[theta,phi] Conjugate[SphericalHarmonicY[n,l,m,theta,phi]] Sin[theta],{theta,0,Pi},{phi,0,2Pi}] f[theta,phi]=Sum[a[n,l,m] SphericalHarmonicY[n,l,m,theta,phi],m,l,n] ? Regards Jens Philippe wrote: > > Hello > > I would like to represent with Spherical Harmonics any function with a > given symmetry on a sphere. The symmetry is here the one of the 432 > point group, that is with 4-fold, 3-fold and 2-fold axes of a cube. Note > that I need to represent a function which is NOT centro-symmetric, that > is which does NOT obey f[r] = f[-r] (thus the point group has 24 > elements). > > I would appreciate very much a "ready-to-use" formula as I have an > immediate and practical problem to solve. > > Many thanks > > Philippe Dumas