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5 papers · 1 filter
Sufficient conditions for the convergence of the Magnus expansion
Fernando Casas
Two different sufficient conditions are given for the convergence of the Magnus expansion arising in the study of the linear differential equation . The first one prov…
Extrinsic Isoperimetric Analysis on Submanifolds with Curvatures Bounded from Below
Steen Markvorsen, Vicente Palmer
We obtain upper bounds for the isoperimetric quotients of extrinsic balls of submanifolds in ambient spaces which have a lower bound on their radial sectional curvatures. The subma…
Planar maps whose second iterate has a unique fixed point
Begoña Alarcón, Carlos Gutierrez, José Martínez-Alfaro
Let a>0, F: R^2 -> R^2 be a differentiable (not necessarily C^1) map and Spec(F) be the set of (complex) eigenvalues of the derivative F'(p) when p varies in R^2. (a) If Spec(F) is…
The Dagum family of isotropic correlation functions
Christian Berg, Jorge Mateu, Emilio Porcu
A function is a completely monotonic function if and only if is positive definite on for all and thus it repre…
Some aspects of analysis on almost complex manifolds with boundary
Bernard Coupet, Herve Gaussier, Alexandre Sukhov
We present some results dealing with the local geometry of almost complex manifolds. We establish mainly the complete hyperbolicity of strictly pseudoconvex domains, the extension…