Orthogonality of Certain Functions with Respect to Complex Valued Weights
Orthogonality of Certain Functions with Respect to Complex Valued Weights
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DOI：
10.4153/cjm-1981-095-3
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发表时间：
1981-10
期刊：
影响因子：
--
通讯作者：
G. Gasper
中科院分区：
文献类型：
--
作者：
G. Gasper
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.
