A Treatise on Spherical Trigonometry
John Hymers
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John Hymers
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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....
Avelino, Catarina P., Breda, A.M.d'Azevedo, Santos, Altino F. (2010)
Beiträge zur Algebra und Geometrie
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Alexandrov, Victor (1997)
Beiträge zur Algebra und Geometrie
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Bezdek, Károly, Schneider, Rolf (2010)
Beiträge zur Algebra und Geometrie
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Farid Beninel (2010)
RAIRO - Operations Research
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Our concern here, is the characterization of dissimilarity indexes defined over finite sets, whose spatial representation is spherical. Consequently, we propose a methodology (Normed MultiDimensional Scaling) to determine the spherical euclidean representation of a set of items best accounting for the initial dissimilarity between items. This methodology has the advantage of being graphically readable on individual qualities of projection like the normed PCA, of which it constitutes...
J.K. Rees (1891/92)
Bulletin of the New York Mathematical Society
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Sommen, F.
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Sommen, F.
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