Resultado de búsqueda
6 de feb. de 2019 · Hardy spaces of general Dirichlet series - a survey. Andreas Defant, Ingo Schoolmann. The main purpose of this article is to survey on some key elements of a recent $\mathcal {H}_p$-theory of general Dirichlet series $\sum a_n e^ {-\lambda_ {n}s}$, which was mainly inspired by the work of Bayart and Helson on ordinary Dirichlet series $\sum a_n ...
Geometric Aspects of Quasi-Periodic Property of Dirichlet Functions. D. Ghisa Andrei Horvat-Marc. Mathematics. 2018. The concept of quasi-periodic property of a function has been introduced by Harald Bohr in 1921 and it roughly means that the function comes (quasi)-periodically as close as we want on every…. Expand.
FOUNDATIONS OF THE THEORY OF DIRICHLET SERIES. BY. HENRY HELSON. University of California, Berkeley, California, U.S.A. and Facult$ des Sciences, Orsay, France (1) 1. A modern reader, familiar with the methods of functional analysis, is struck with the conviction that the classical theory of Dirichlet series [3, 5, 6] must have content ...
16 de abr. de 2023 · As well as the half-plane of convergence one also considers the half-plane of absolute convergence of the Dirichlet series, $ \sigma > a $: The open domain in which the series converges absolutely (here $ a $ is the abscissa of absolute convergence). In general, the abscissas of convergence and of absolute convergence are different.
Dirichlet series are functions of a complex variable s s that are defined by certain infinite series. They are generalizations of the Riemann zeta function, and are important in number theory due to their deep connections with the distribution of prime numbers. They have interesting connections with multiplicative functions and Dirichlet ...
Dirichlet Series. Contents Preface (G.H.H. 19 May 1915.) $\text{I}$. Introduction $\text{II}$. Elementary theory of the convergence of dirichlet's series $\text{III}$. The formula for the sum of the coefficients of a dirichlet's series: the order of the function represented by the series $\text{IV}$. The summation of the series by typical means ...
Search form. Search . Login; Join; Give; Events
