µ-Integrable Functions and Weak Convergence of Probability Measures in Complete Paranormed Spaces
Mathematics, 2018 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
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Weak convergence of probability measures in spaces of smooth functions
Stochastic Processes and Their Applications, 1986 The paper deals with conditions of weak convergence of measures on the space \(C^k\) of \(k\)-times differentiable functions defined on \(\mathbb R^n\) (or on a ball of \(\mathbb R^n)\) with values in \(\mathbb R^N\) \((N\) and \(n\) are positive integers). The author has found necessary and sufficient conditions for tightness of a sequence of measures
Richard J Wilson
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Laplace's Method Revisited: Weak Convergence of Probability Measures
Annals of Probability, 1980 Let $Q$ be a fixed probability on the Borel $\sigma$-field in $R^n$ and $H$ be an energy function continuous in $R^n$. A set $N$ is related to $H$ by $N = \{x \mid\inf_yH(y) = H(x)\}$. Laplace's method, which is interpreted as weak convergence of probabilities, is used to introduce a probability $P$ on $N$.
Chii-Ruey Hwang
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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
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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
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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
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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
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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
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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
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On Discrete Approximation of Analytic Functions by Shifts of the Lerch Zeta Function
Mathematics, 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
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