| Abstract [eng] |
In the paper, the approximation of analytic functions on compact sets of the strip {π =π+ππ‘βββ£1/2<π<1} by shifts πΉ(π(π +ππ’1(π)),β¦,π(π +ππ’π(π))), where π(π ) is the Riemann zeta-function, π’1,β¦,π’π are certain differentiable increasing functions, and F is a certain continuous operator in the space of analytic functions, is considered. It is obtained that the set of the above shifts in the interval [π,π+π»] with π»=π(π) , πββ, has a positive lower density. Additionally, the positivity of a density with a certain exceptional condition is discussed. Examples of considered operators F are given. |
