Mikusiński functional equation on a hexagon.
Minkowski sums of Cantor-type sets
The classical Steinhaus theorem on the Minkowski sum of the Cantor set is generalized to a large class of fractals determined by Hutchinson-type operators. Numerous examples illustrating the results obtained and an application to t-convex functions are presented.
Mixing and some integro-functional equations.
Modified logarithmic Sobolev inequalities in null curvature.
Monotonic solution of the translation equation
Most random walks on nilpotent groups are mixing
Let G be a second countable locally compact nilpotent group. It is shown that for every norm completely mixing (n.c.m.) random walk μ, αμ + (1-α)ν is n.c.m. for 0 < α ≤ 1, ν ∈ P(G). In particular, a generic stochastic convolution operator on G is n.c.m.
Mots infinis et produits de matrices a coefficients polynomiaux
Mountain climbing: an alternate proof.
Moyennes de fonctions et opérateurs multiplicativement liés
Multiple integrals evaluated by functional equations
Multiplications on the Space of Probability Distribution Functions. (Short Communication).
Multiplications on the Space of Probability Distribution Functions.
Multiplicative Cauchy functional equation and the equation of ratios on the Lorentz cone
It is proved that the solution of the multiplicative Cauchy functional equation on the Lorentz cone of dimension greater than two is a power function of the determinant. The equation is solved in full generality, i.e. no smoothness assumptions on the unknown function are imposed. Also the functional equation of ratios, of a similar nature, is solved in full generality.
Multiplicative Cauchy functional equation in the cone of positive-definite symmetric matrices
We solve the multiplicative Cauchy equation for real functions of symmetric positive definite matrices under the differentiability restriction. The specialty of the problem lies in the symmetry of the multiplication.
Multiplicative symmetry and related functional equations.
Multiplikationen mit großen Automorphismengruppen.
Multi-valued solutions of a functional equation