Mappings preserving regular hexahedrons.
Markov operators acting on Polish spaces
We prove a new sufficient condition for the asymptotic stability of Markov operators acting on measures. This criterion is applied to iterated function systems.
Markov operators on the space of vector measures; coloured fractals
We consider the family 𝓜 of measures with values in a reflexive Banach space. In 𝓜 we introduce the notion of a Markov operator and using an extension of the Fortet-Mourier norm we show some criteria of the asymptotic stability. Asymptotically stable Markov operators can be used to construct coloured fractals.
Matrix method for solving linear complex vector functional equations.
Matrix refinement equations: Continuity and smoothness
In this paper we give some criteria for the existence of compactly supported -solutions ( is an integer and ) of matrix refinement equations. Several examples are presented to illustrate the general theory.
Matrix Refinement Equations: Existence and Uniqueness.
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).