Matrix solutions of the functional equation of the gamma function.
Maximizers for the Strichartz Inequality
We compute explicitly the best constants and, by solving some functional equations, we find all maximizers for homogeneous Strichartz estimates for the Schrödinger equation and for the wave equation in the cases when the Lebesgue exponent is an even integer.
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 a (2, 2)-type sum form functional equation.
Measurable solutions of functional equations satisfied almost everywhere.
Measurable solutions of quadratic functional equations
Measure concentration for compound Poisson distributions.
Measures of inset information on the open domain - I: Inset entropies and information functions of all degrees.
Measures of vector information with the branching property
Measuring information beyond communication theory - Why some generalized information measures may be useful, others not.
Midpoint convex functions majorized by midpoint concave functions.
Midpoint convex functions majorized by midpoint concave functions. (Short Communication).
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.