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MathGroup Archive 2001

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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


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