Results 11 to 20 of about 235,890 (287)

Weak convergence of probability measures on the function space C([0, 1]2)

open access: yesJournal of Multivariate Analysis, 1971
AbstractThe existence of a Gaussian measure W on C([0, 1]2) with EW(x(s1,t1)·x(s2,t2))=min(s1,s2)·min(t1,t2) as its covariance function and an extension of Donsker's theorem for C([0, 1]2) are given.
W. Park
semanticscholar   +3 more sources

The Investigation of the Discrete Universality of L-Functions of Elliptic Curves

open access: yesJaunųjų Mokslininkų Darbai, 2022
In the paper, we prove the discrete universality theorem in the sense of the weak convergence of probability measures in the space of analytic functions for the L-functions of elliptic curves.
Samanta Zakaitė, Antanas Garbaliauskas
doaj   +1 more source

Generalized Universality for Compositions of the Riemann Zeta-Function in Short Intervals

open access: yesMathematics, 2023
In the paper, the approximation of analytic functions on compact sets of the strip {s=σ+it∈C∣1 ...
Antanas Laurinčikas, Renata Macaitienė
doaj   +1 more source

A discrete limit theorem for the periodic Hurwitz zeta-function

open access: yesLietuvos Matematikos Rinkinys, 2015
In the paper, we prove a limit theorem of discrete type on the weak convergence of probability measures on the complex plane for the periodic Hurwitz zeta-function.
Audronė Rimkevičienė
doaj   +1 more source

A discrete limit theorem for the periodic Hurwitz zeta-function. II

open access: yesLietuvos Matematikos Rinkinys, 2016
In the paper, we prove a limit theorem of discrete type on the weak convergence of probability measures on the complex plane for the periodic Hurwitz zeta-function.
Audronė Rimkevičienė
doaj   +1 more source

A Joint Limit Theorem for Laplace Transforms of the Riemann Zeta–Function

open access: yesNonlinear Analysis, 2007
In the paper, a joint limit theorem in the sense of weak convergence of probability measures on the complex plane for Laplace transforms of the Riemann zetafunction is obtained.
A. Laurinčikas
doaj   +1 more source

On Discrete Approximation of Analytic Functions by Shifts of the Lerch Zeta Function

open access: yesMathematics, 2022
The Lerch zeta function is defined by a Dirichlet series depending on two fixed parameters. In the paper, we consider the approximation of analytic functions by discrete shifts of the Lerch zeta function, and we prove that, for arbitrary parameters and a
Audronė Rimkevičienė   +1 more
doaj   +1 more source

Effective weak and vague convergence of measures on the real line [PDF]

open access: yesArchive for Mathematical Logic, 2021
We expand our effective framework for weak convergence of measures on the real line by showing that effective convergence in the Prokhorov metric is equivalent to effective weak convergence.
Diego A. Rojas
semanticscholar   +1 more source

Value Distribution of General Dirichlet series. VI

open access: yesNonlinear Analysis, 2005
In the paper a limit theorem in the sense of weak convergence of probability measures on the complex plane for a new class of general Dirichlet series is obtained.
A. Laurinčikas
doaj   +1 more source

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