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An alternative to Slepian functions on the unit sphere – A space–frequency analysis based on localized spherical polynomials
In this article, we present a space–frequency theory for spherical harmonics based on the spectral decomposition of a particular space–frequency operator. The presented theory is closely linked to the theory of ultraspherical polynomials on the one hand, and to the theory of Slepian functions on the 2-sphere on the other. …