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Weak Convergence of Measures in Conservative Systems [PDF]

Journal of Mathematical Sciences, 2005
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Kozlov, V. V., Treschev, D. V.
exaly   +2 more sources

µ-Integrable Functions and Weak Convergence of Probability Measures in Complete Paranormed Spaces

Mathematics
This paper works with functions defined in metric spaces and takes values in complete paranormed vector spaces or in Banach spaces, and proves some necessary and sufficient conditions for weak convergence of probability measures.
Renying Zeng
doaj   +3 more sources

Weak convergence of measures

Mathematische Annalen, 1971
Helmut H Schaefer
exaly   +3 more sources

Weak Convergence of Topological Measures [PDF]

Journal of Theoretical Probability, 2021
AbstractTopological measures and deficient topological measures are defined on open and closed subsets of a topological space, generalize regular Borel measures, and correspond to (nonlinear in general) functionals that are linear on singly generated subalgebras or singly generated cones of functions.
openaire   +3 more sources

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

Mathematics, 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

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

Jaunųjų 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

A discrete limit theorem for the periodic Hurwitz zeta-function

Lietuvos 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

Lietuvos 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

Nonlinear 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

Value Distribution of General Dirichlet series. VI

Nonlinear 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