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1 results on '"Weak convergence"'

1. On the Discrete Approximation by the Mellin Transform of the Riemann Zeta-Function.

Author

Garbaliauskienė, Virginija, Laurinčikas, Antanas, and Šiaučiūnas, Darius

Subjects
*MELLIN transform, *ANALYTIC functions, *ZETA functions, *ANALYTIC spaces, *PROBABILITY measures, *FUNCTION spaces
Abstract

In the paper, it is obtained that there are infinite discrete shifts Ξ (s + i k h) , h > 0 , k ∈ N 0 of the Mellin transform Ξ (s) of the square of the Riemann zeta-function, approximating a certain class of analytic functions. For the proof, a probabilistic approach based on weak convergence of probability measures in the space of analytic functions is applied. [ABSTRACT FROM AUTHOR]

Published
2023
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