On spherical expansions of smooth \(\mathrm{SU}(n)\)-zonal functions on the unit sphere in \(\mathbb C^n\)
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Publication:488699
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
Laplace operatorJacobi polynomialsPoisson-Szegő kernelbihomogeneous spherical harmonicsFunk-Hecke formulazonal harmonic polynomials
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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