Differential operators of gradient type associated with spherical harmonics
Aleksander Strasburger (1991)
Annales Polonici Mathematici
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Aleksander Strasburger (1991)
Annales Polonici Mathematici
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Sommen, F.
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Dragana Cvetković (2002)
Publications de l'Institut Mathématique
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Sommen, F.
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Kalf, Hubert (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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John Hymers
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Yan Xu (2011)
Annales Polonici Mathematici
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By using an extension of the spherical derivative introduced by Lappan, we obtain some results on normal functions and normal families, which extend Lappan's five-point theorems and Marty's criterion, and improve some previous results due to Li and Xie, and the author. Also, another proof of Lappan's theorem is given.
Jacques Faraut (2010)
Colloquium Mathematicae
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The asymptotics of spherical functions for large dimensions are related to spherical functions for Olshanski spherical pairs. In this paper we consider inductive limits of Gelfand pairs associated to the Heisenberg group. The group K = U(n) × U(p) acts multiplicity free on 𝓟(V), the space of polynomials on V = M(n,p;ℂ), the space of n × p complex matrices. The group K acts also on the Heisenberg group H = V × ℝ. By a result of Carcano, the pair (G,K) with G = K ⋉ H is a Gelfand pair....
Sundaram Thangavelu (1991)
Revista Matemática Iberoamericana
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The aim of this paper is to study mean value operators on the reduced Heisenberg group H/Γ, where H is the Heisenberg group and Γ is the subgroup {(0,2πk): k ∈ Z} of H.