Absolutely linear relations (Short Communication).
Abstract difference equations with nonlinearities having the local Lipschitz properties.
Abstract differential equations of arbitrary (fractional) orders
Abstract separation theorems of Rodé type and their applications
Sufficient and necessary conditions are presented under which two given functions can be separated by a function Π-affine in Rodé sense (resp. Π-convex, Π-concave). As special cases several old and new separation theorems are obtained.
Accelero-summation of the formal solutions of nonlinear difference equations
In 1996, Braaksma and Faber established the multi-summability, on suitable multi-intervals, of formal power series solutions of locally analytic, nonlinear difference equations, in the absence of “level ”. Combining their approach, which is based on the study of corresponding convolution equations, with recent results on the existence of flat (quasi-function) solutions in a particular type of domains, we prove that, under very general conditions, the formal solution is accelero-summable. Its sum...
Accomodation of zero-valued characteristic roots in the classical solution expression for linear, homogeneous, constant-coefficient, difference equations.
Accuracy of Several Multidimensional Refinable Distributions.
Accurate solution estimates for nonlinear nonautonomous vector difference equations.
Accurate solution estimates for vector difference equations.
Aczél's Uniqueness Theorem and Cellular Internity.
Aczél's Uniqueness theorem and Cellular Internity. (Short Communication).
Addendum to the article: Polylogarithms in the field of omega (a root of a given cubic): Functional equations and ladders.
Addition Formulae for Field-Valued Continuous Functions on Topological Groups.
Addition theorems and related geometric problems of group representation theory
The Levi-Civita functional equation (g,h ∈ G), for scalar functions on a topological semigroup G, has as the solutions the functions which have finite-dimensional orbits in the right regular representation of G, that is the matrix elements of G. In considerations of some extensions of the L-C equation one encounters with other geometric problems, for example: 1) which vectors x of the space X of a representation have orbits O(x) that are “close” to a fixed finite-dimensional subspace? 2) for...
Additive and convex functions in linear topological space.
Additive and subadditive entropies for discrete n-dimensional random vectors.
Additive f-bimorphisms and Cosine Type Equations
Additive functional inequalities in Banach modules.
Additive functions modulo a countable subgroup of ℝ
We solve the mod G Cauchy functional equation f(x+y) = f(x) + f(y) (mod G), where G is a countable subgroup of ℝ and f:ℝ → ℝ is Borel measurable. We show that the only solutions are functions linear mod G.
Additive selections of superadditive set-valued functions.