On spherical expansions of smooth \(\mathrm{SU}(n)\)-zonal functions on the unit sphere in \(\mathbb C^n\)

DOI10.1016/J.JMAA.2013.03.035zbMath1307.31015arXiv1112.0648OpenAlexW2963222037MaRDI QIDQ488699

Agata Bezubik, Aleksander Strasburger

Publication date: 26 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.0648

zbMATH Keywords

Laplace operatorJacobi polynomialsPoisson-Szegő kernelbihomogeneous spherical harmonicsFunk-Hecke formulazonal harmonic polynomials

Mathematics Subject Classification ID

Higher-dimensional potential theory (31B99)

Related Items (4)

Irreducibility of the Laplacian eigenspaces of some homogeneous spaces ⋮ Plane wave formulas for spherical, complex and symplectic harmonics ⋮ Spherical functions on spheres of rank two ⋮ Reproducing kernels for polynomial null-solutions of Dirac operators

Cites Work

• On the construction of uniformly convergent disk polynomial expansions
• Generalized Zernike or disc polynomials
• On the Fourier transform of SO(\(d\))-finite measures on the unit sphere
• Erratum to: On the construction of uniformly convergent disk polynomial expansions
• On spherical expansions of zonal functions on Euclidean spheres
• Spherical Harmonic Expansion of the Poisson-Szego Kernel for the Ball
• Composition Series and Intertwining Operators for the Spherical Principal Series. I
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