A Treatise on Spherical Trigonometry
John Hymers
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John Hymers
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Shiu-Yuen Cheng (1975)
Mathematische Zeitschrift
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Patrick X. Gallagher (1975)
Mathematische Zeitschrift
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Avelino, Catarina P., Breda, A.M.d'Azevedo, Santos, Altino F. (2010)
Beiträge zur Algebra und Geometrie
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Sadao Sato (1982)
Mathematische Zeitschrift
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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....
Albert Schneider (1974)
Mathematische Zeitschrift
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Cornelia Wissemann-Hartmann (1981)
Mathematische Zeitschrift
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Stehen Markvorsen (1983)
Mathematische Zeitschrift
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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.
Alexandrov, Victor (1997)
Beiträge zur Algebra und Geometrie
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Charles F. Dunkl (1981)
Mathematische Zeitschrift
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Bezdek, Károly, Schneider, Rolf (2010)
Beiträge zur Algebra und Geometrie
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Herbert Amann (1976)
Mathematische Zeitschrift
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