Orthogonal Bases for Spaces of Complex Spherical Harmonics
نویسندگان
چکیده
منابع مشابه
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 Cq. The bases are shown to have many interesting properties, among them orthogonality with respect to the inner product of L(Ω2q). As a bypass, we study the inner product [f, g] = f(D)(g(z))(0) over the space P(Cq) of polynomials in the variables z, z ∈ Cq, in which f(D) is t...
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ژورنال
عنوان ژورنال: Journal of Applied Analysis
سال: 2005
ISSN: 1425-6908,1869-6082
DOI: 10.1515/jaa.2005.113