Tensor spherical harmonics on <i>S</i>2 and <i>S</i>3 as eigenvalue problems

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<jats:p>Tensor spherical harmonics for the 2-sphere and 3-sphere are discussed as eigenfunction problems of the Laplace operators on these manifolds. The scalar, vector, and second-rank tensor harmonics are given explicitly in terms of known functions and their properties summarized.</jats:p>

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