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Orthogonal Bases for Spaces of Complex Spherical Harmonics

Orthogonal Bases for Spaces of Complex Spherical Harmonics

This paper proposes an inductive method to construct bases for spaces of spherical harmonics over the unit sphere Ω2q of . The bases are shown to have many interesting properties, among them orthogonality with respect to the inner product of L2(Ω2q). As a bypass, we study the inner product over …