A realization of the uncertainty principle

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

Keywords

Related Articles

On properties of the solutions of the Weber equation

Growth, convexity and the l-index boundedness of the functions α(z) and β(z), such that α(z4) and zβ(z4) are linear independent solutions of the Weber equation w′′−(z24−ν−12)w=0 if ν=−12 are investigated.

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...

Approximation of capacities with additive measures

For a space of non-additive regular measures on a~metric compactum with the~Prokhorov-style metric, it is shown that the~problem of approximation of arbitrary measure with an~additive measure on a~fixed finite subspace r...

FG-coupled fixed point theorems in cone metric spaces

The concept of $FG$-coupled fixed point introduced recently is a generalization of coupled fixed point introduced by Guo and Lakshmikantham. A point $(x,y)\in X\times X$ is said to be a coupled fixed point of the mapping...

On the growth of a klasss of Dirichlet series absolutely convergent in half-plane

In terms of generalized orders it is investigated a relation between the growth of a Dirichlet series $F(s)=\sum\limits_{n=1}^{\infty}a_n\exp\{s\lambda_n\}$ with the abscissa of asolute convergence $A\in (-\infty,+\infty...

Download PDF file
  • EP ID EP538682
  • DOI 10.15330/cmp.7.1.66-71
  • Views 84
  • Downloads 0

How To Cite

V. M. Dilnyi, T. I. Viychuk (2015). A realization of the uncertainty principle. Карпатські математичні публікації, 7(1), 66-71. https://europub.co.uk/articles/-A-538682