On the completeness and closure of vector and tensor spherical harmonics

W. Freeden, M. Gutting
2008 Integral transforms and special functions  
An intrinsically on the 2-sphere formulated proof of the closure and completeness of spherical harmonics is given in vectorial and tensorial framework. The considerations are essentially based on vector and tensor approximation in terms of zonal vector and tensor Bernstein kernels, respectively.
doi:10.1080/10652460802295556 fatcat:palllzok6bedzlyerum6iifem4