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Your search keyword '"Weak convergence"' showing total 1 results
Start Over Descriptor "Weak convergence" Topic analytic functions Topic dirichlet series Publisher scientific & technical research council of turkey

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1 results on '"Weak convergence"'

1. Universality of an absolutely convergent Dirichlet series with modified shifts.

Author

LAURINČIKAS, Antanas, MACAITIENĖ, Renata, and ŠIAUČIŪNAS, Darius

Subjects
*DIRICHLET series, *ANALYTIC functions, *MONOTONIC functions, *HAAR integral, *DIFFERENTIABLE functions
Abstract

In the paper, a theorem on approximation of a wide class of analytic functions by generalized shifts uT (s + if(t )) of an absolutely convergent Dirichlet series uT (s) which in the mean is close to the Riemann zetafunction is obtained. Here f(t) is a monotonically increasing differentiable function having a monotonic continuous derivative such that f(2t) max tt2t 1 f'(t) « t as t 8, and uT 8 and uT « T2 as T 8. [ABSTRACT FROM AUTHOR]

Published
2022
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