Orthogonal Bases for Spaces of Complex Spherical Harmonics

DOI10.1515/JAA.2005.113zbMath1123.33010OpenAlexW2137748172MaRDI QIDQ5316904

Valdir A. Menegatto, Claudemir P. Oliveira

Publication date: 15 September 2005

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.2005.113

zbMATH Keywords

spheregenerating functionspherical harmonicsgroup of isometriesinner productorthogonal basisaddition formulaFunk-Hecke formula

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Spherical harmonics (33C55) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (1)

How do difference bodies in complex vector spaces look like? A geometrical approach

Cites Work

• Annihilating properties of convolution operators on complex spheres

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