S2FunHarmonic

S2FunHarmonic is the heart of S2Fun, therefore much effort is put into its functionality. This functionality can be best represented if we split the documentation into parts.

The first part covers the features for univariate functions. In the second part we consider multivariate functions and generalize the functionality of the first part to higher dimensions.

Complete Function list

S2FunHarmonica class representing a function on the sphere
absolute value of a function
acoscost of a function
approximationcomputes a least square problem to get an approximation
catoverloads cat
conjugate S2FunHarmonic
convspherical convolution of sF with a radial function psi
cost of a function
ctransposes S2FunHarmonic
displaystandard output
dotinner product
eigen value of a spherical function
endoverloaded end function
entropyof a function
evaluates the spherical harmonic on a given set of points
evenor antipodal part of a spherical function
gradcalculates the gradiet of a spherical harmonic
horzcatoverloads horzcat
isemptyoverloads isempty
leoverloads sF1 <= sF2
lengthoverloads length
logof a function
meancalculates the mean value for an univariate S2Fun or calculates the mean along a specified dimension fo a multimodal S2Fun
mincalculates the minimum of a spherical harminc or the pointwise minimum of two spherical harmonics
mtimesSyntax
normthe L2 norm of a spherical function
plotSpektraplots Fourier coefficients of a spherical function
plusimpements sF1 + sF2
powerSyntax
quadratureSyntax
rdivideSyntax
reshapeoverloads reshape
rotatea function by a rotation
simultaniousCGcalculates the minimum of a spherical harminc
sqrtsquare root of a function
steepestDescentcalculates the minimum of a spherical harminc
subsasgnoverloads subsasgn
subsrefoverloads subsref
sumcalculates the integral for an univariate S2Fun or sums up along a specified dimension fo a multimodal S2Fun
symmetrises a function with respect to a symmetry
timesoverloads sF1 .* sF2
transposeoverloads transpose
truncateneglectable coefficients
uminusSyntax
vertcatoverloads vertcat