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Your search keyword '"Weak convergence"' showing total 2 results
Start Over Descriptor "Weak convergence" Topic analytic functions Topic analytic spaces Publication Year Range Last 50 years Publisher vilnius gediminas technical university
2 results on '"Weak convergence"'

1. On a Dirichlet Series Connected to a Periodic Hurwitz Zeta-Function with Transcendental and Rational Parameter.

Author

Balčiūnas, Aidas, Laurinčikas, Antanas, and Stoncelis, Mindaugas

Subjects
*DIRICHLET series, *ANALYTIC functions, *ZETA functions, *HAAR integral, *ANALYTIC spaces, *TRANSCENDENTAL functions, *FUNCTION spaces
Abstract

In the paper, we construct an absolutely convergent Dirichlet series which in the mean is close to the periodic Hurwitz zeta-function, and has the universality property on the approximation of a wide class of analytic functions. [ABSTRACT FROM AUTHOR]

Published
2023
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2. Joint Discrete Approximation of Analytic Functions by Hurwitz Zeta-Functions.

Author

Balčiūnas, Aidas, Garbaliauskienė, Virginija, Lukšienė, Violeta, Macaitienė, Renata, and Rimkevičienė, Audronė

Subjects
*ANALYTIC functions, *ANALYTIC spaces, *FUNCTION spaces, *ARBITRARY constants
Abstract

Let H(D) be the space of analytic functions on the strip D = {σ + it ∈ C : 1/2 < σ < 1}. In this paper, it is proved that there exists a closed non-empty set Fα1,...,αr ⊂ H(D) such that every collection of the functions (f1, . . ., fr) ∈ Fα1,...,αr is approximated by discrete shifts (ζ(s + ikh1, α1), . . ., ζ(s + ikhr, αr)), hj > 0, j = 1, . . ., r, k ∈ N ∪ {0}, of Hurwitz zeta-functions with arbitrary parameters α1, . . ., αr. [ABSTRACT FROM AUTHOR]

Published
2022
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