Displaying similar documents to “Superstability of functional equations related to spherical functions”

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.

Spherical quadrangles.

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

Beiträge zur Algebra und Geometrie

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Asymptotic spherical analysis on the Heisenberg group

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....

On the inverse stability of functional equations

Zenon Moszner (2013)

Banach Center Publications

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The inverse stability of functional equations is considered, i.e. when the function, approximating a solution of the equation, is an approximate solution of this equation.

On the stability of the squares of some functional equations

Zenon Moszner (2015)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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We consider the stability, the superstability and the inverse stability of the functional equations with squares of Cauchy’s, of Jensen’s and of isometry equations and the stability in Ulam-Hyers sense of the alternation of functional equations and of the equation of isometry.