Displaying similar documents to “Spherical means and measures with finite energy”

On the five-point theorems due to Lappan

Yan Xu (2011)

Annales Polonici Mathematici

Similarity:

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.

Spherical quadrangles.

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

Beiträge zur Algebra und Geometrie

Similarity:

Asymptotic spherical analysis on the Heisenberg group

Jacques Faraut (2010)

Colloquium Mathematicae

Similarity:

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....

Superintegrable Potentials and superposition of Higgs Oscillators on the Sphere S²

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

Banach Center Publications

Similarity:

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...