Geodesic
Orthogonality of Certain Functions with Respect to Complex Valued Weights
Canadian journal of mathematics, Tome 33 (1981) no. 5, pp. 1261-1270

Voir la notice de l'article provenant de la source Cambridge University Press

In his work on the Dirichlet problem for the Heisenberg group Greiner [5] showed that each Lα -spherical harmonic is a unique linear combination of functions of the form with k = 0, 1,2, ... and n = 0, ±l, ±2 , ..., where Hk (α, n)(θiθ ) is defined by the generating function Since Hk (0,0)(eiθ ) = Pk (cos θ), where Pk(x) is the Legendre polynomial of degree k, and these functions satisfy the orthogonality relation Greiner raised the question of whether the functions Hk (0,0)(eiθ ) are orthogonal or biorthogonal with respect to some complex valued weight function. 
Gasper, George. Orthogonality of Certain Functions with Respect to Complex Valued Weights. Canadian journal of mathematics, Tome 33 (1981) no. 5, pp. 1261-1270. doi: 10.4153/CJM-1981-095-3
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