Results 11 to 20 of about 92,922 (135)

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   +6 more sources

Joint weighted limit theorems for general dirichlet series

Mathematical Modelling and Analysis, 2011
In the paper,two joint weighted limit theorems in the sense of weak convergence of probability measures on the complex plane for general Dirichlet series are obtained.
Jonas Genys, Antanas Laurinčikas
doaj   +5 more sources

On joint universality for general Dirichlet series

Lietuvos Matematikos Rinkinys, 2004
There is not abstract.
Jonas Genys
doaj   +6 more sources

On Joint Distribution of General Dirichlet Series

Nonlinear Analysis, 2003
In the paper a joint limit theorem in the sense of the weak convergence in the space of meromorphic functions for general Dirichlet series is proved under weaker conditions as in [1].
J. Genys, A. Laurinčikas
doaj   +4 more sources

Fréchet spaces of general Dirichlet series [PDF]

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021
Inspired by a recent article on Fr chet spaces of ordinary Dirichlet series $\sum a_n n^{-s}$ due to J.~Bonet, we study topological and geometrical properties of certain scales of Fr chet spaces of general Dirichlet spaces $\sum a_n e^{- _n s}$. More precisely, fixing a frequency $ = ( _n)$, we focus on the Fr chet space of $ $-Dirichlet series ...
Andreas Defant, Tomas Fernandez-Vidal, Ingo Schoolmann, Pablo Sevilla‐Peris   +3 more
openalex   +8 more sources

$$\pmb {{\mathcal {H}}_{p}}$$-Theory of General Dirichlet Series

Journal of Fourier Analysis and Applications, 2019
Inspired by results of Bayart on ordinary Dirichlet series $\sum a_n n^{-s}$, the main purpose of this article is to start an $\mathcal{H}_p$-theory of general Dirichlet series $\sum a_n e^{- _{n}s}$. Whereas the $\mathcal{H}_p$-theory of ordinary Dirichlet series, in view of an ingenious identification of Bohr, can be seen as a sub-theory of Fourier ...
Andreas Defant, Ingo Schoolmann
exaly   +5 more sources

Vector-valued general Dirichlet series [PDF]

Studia Mathematica, 2020
Opened up by early contributions due to, among others, H. Bohr, Hardy-Riesz, Bohnenblust-Hille, Neder and Landau the last 20 years show a substantial revival of systematic research on ordinary Dirichlet series $\sum a_n n^{-s}$, and more recently even on general Dirichlet series $\sum a_n e^{- _n s}$.
Daniel Carando, Andreas Defant, Felipe Marceca, Ingo Schoolmann   +3 more
openalex   +5 more sources

Analytical D’Alembert Series Solution for Multi-Layered One-Dimensional Elastic Wave Propagation with the Use of General Dirichlet Series [PDF]

Civil Engineering Infrastructures Journal, 2018
A general initial-boundary value problem of one-dimensional transient wave propagation in a multi-layered elastic medium due to arbitrary boundary or interface excitations (either prescribed tractions or displacements) is considered.
Mohamad Emami, Morteza Eskandari-Ghadi
doaj   +2 more sources

A Mean Value Theorem for General Dirichlet Series [PDF]

The Quarterly Journal of Mathematics
ABSTRACT In this paper we obtain a mean value theorem for a general Dirichlet series $f(s)= \sum_{j=1}^\infty a_j n_j^{-s}$ with positive coefficients for which the counting function $A(x) = \sum_{n_{j}\le x}a_{j}$ satisfies $A(x)=\rho x + O(x^\beta)$ for some ρ > 0 and β < 1. We prove that $\frac1T\int_0^T |\,f(\sigma+it)|^
Frederik Broucke, Titus Hilberdink
  +7 more sources

A limit theorem in the space of meromorphic functions for general Dirichlet series

Lietuvos Matematikos Rinkinys, 2003
There is not abstract.
Jonas Genys
doaj   +5 more sources