Compute the power spectrum of a real function.
call SHPowerSpectrum (cilm, lmax, pspectrum )
cilm : input, real*8, dimension (2, lmaxin+1, lmaxin+1)
: The function expressed in real spherical harmonics.
lmax : input, integer
: The maximum spherical harmonic degree used in calculating the power spectrum. This must be less than or equal to lmaxin.
pspectrum : output, real*8, dimension (lmax+1)
: The power spectrum of the function.
SHPowerSpectrum will calculate the power spectrum of a function expressed in real spherical harmonics. For a given spherical harmonic degree l, this is calculated explicitly as:
pspectrum(l) = Sum_{i=1}^2 Sum_{m=0}^l cilm(i, l+1, m+1)**2.
shpowerl, shpowerdensityl, shcrosspowerl, shcrosspowerdensityl, shpowerspectrumdensity, shcrosspowerspectrum, shcrosspowerspectrumdensity, shadmitcorr