Displaying similar documents to “Asymptotic spherical analysis on the Heisenberg group”

Spherical quadrangles.

Avelino, Catarina P., Breda, A.M.d'Azevedo, Santos, Altino F. (2010)

Beiträge zur Algebra und Geometrie

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On the five-point theorems due to Lappan

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.

Dissimilarites de type spherique et positionnement multidimensionnel normé

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...

Superintegrable Potentials and superposition of Higgs Oscillators on the Sphere S²

Manuel F. Rañada, Teresa Sanz-Gil, Mariano Santander (2003)

Banach Center Publications

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The spherical version of the two-dimensional central harmonic oscillator, as well as the spherical Kepler (Schrödinger) potential, are superintegrable systems with quadratic constants of motion. They belong to two different spherical "Smorodinski-Winternitz" families of superintegrable potentials. A new superintegrable oscillator have been recently found in S². It represents the spherical version of the nonisotropic 2:1 oscillator and it also belongs to a spherical family of quadratic...