A wavelet transform derivation yields explicit Green-function representations for the Poisson and Helmholtz equations on the n-sphere, with new closed forms for certain negative and noninteger parameters.
Michel, Geomathematics – modelling and solving mathematical problems in geodesy and geo- physics, Cambridge University Press, Cambridge
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Wavelet based solutions to the Poisson and the Helmholtz equations on the $n$-dimensional unit sphere
A wavelet transform derivation yields explicit Green-function representations for the Poisson and Helmholtz equations on the n-sphere, with new closed forms for certain negative and noninteger parameters.