Mappings preserving regular hexahedrons.
Matrix method for solving linear complex vector functional equations.
Mean-value type functional equations.
Measurability and Continuity for a Functional Equation on a Topological Group
Measurability and Continuity for a Functional Equation on a Topological Group (Short Communication)
Measurable solutions of quadratic functional equations
Measures of inset information on the open domain - I: Inset entropies and information functions of all degrees.
Measuring information beyond communication theory - Why some generalized information measures may be useful, others not.
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.
Moyennes de fonctions et opérateurs multiplicativement liés
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.
Multi-valued solutions of a functional equation