A realization of the uncertainty principle
Journal Title: Карпатські математичні публікації - Year 2015, Vol 7, Issue 1
Abstract
We obtain the statement about the imitation behavior of the sum of functions on the real half-line by each of the summands under some conditions for these functions and their Laplace transforms.
Authors and Affiliations
V. M. Dilnyi, T. I. Viychuk
The nonlocal problem for the 2n differential equations with unbounded operator coefficients and the involution
We study a problem with periodic boundary conditions for a 2n-order differential equation whose coefficients are non-self-adjoint operators. It is established that the operator of the problem has two invariant subspaces...
An example of a non-Borel locally-connected finite-dimensional topological group
According to a classical theorem of Gleason and Montgomery, every finite-dimensional locally path-connected topological group is a Lie group. In the paper for every natural number $n$ we construct a locally connected su...
Periodic words connected with the Fibonacci words
In this paper we introduce two families of periodic words (FLP-words of type 1 and FLP-words of type 2) that are connected with the Fibonacci words and investigated their properties.
Symmetric *-polynomials on Cn
∗-Polynomials are natural generalizations of usual polynomials between complex vector spa\-ces. A ∗-polynomial is a function between complex vector spaces X and Y, which is a sum of so-called (p,q)-polynomials.In turn, f...
Convergence criterion for branched continued fractions of the special form with positive elements
In this paper the problem of convergence of the important type of a multidimensional generalization of continued fractions, the branched continued fractions with independent variables, is considered. This fractions are a...