Results 1 to 10 of about 3,391,666 (248)

The differentiation operator in the space of uniformly convergent Dirichlet series [PDF]

open access: yesMathematische Nachrichten, 2020
Continuity, compactness, the spectrum and ergodic properties of the differentiation operator are investigated, when it acts in the Fréchet space of all Dirichlet series that are uniformly convergent in all half‐planes {s∈C|Res>ε} for each ε>0 .
JOSÉ Bonet
exaly   +2 more sources

ON THE BEST APPROXIMATION OF THE DIFFERENTIATION OPERATOR

open access: yesUral Mathematical Journal, 2015
In this paper we give a solution of the problem of the best approximation in the uniform norm of the differentiation operator of order k by bounded linear operators in the class of functions with the property that the Fourier transforms of their ...
Vitalii V. Arestov
doaj   +2 more sources

Hyers-Ulam Stability of Differentiation Operator on Hilbert Spaces of Entire Functions

open access: yesJournal of Function Spaces, 2014
We investigate the Hyers-Ulam stability of differentiation operator on Hilbert spaces of entire functions. We give a necessary and sufficient condition in order that the operator has the Hyers-Ulam stability and also show that the best constant of Hyers ...
Chun Wang, Tian-Zhou Xu
doaj   +2 more sources

Supercyclic Properties of Extended Eigenoperators of the Differentiation Operator on the Space of Entire Functions [PDF]

open access: yesResults in Mathematics, 2022
A continuous linear operator L defined on the space of entire functions H(C)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \
Manuel Gonz'alez   +2 more
semanticscholar   +1 more source

The differentiation operator on discrete function spaces of a tree [PDF]

open access: yes, 2022
A BSTRACT . In this paper, we study the differentiation operator acting on discrete function spaces; that is spaces of functions defined on an infinite rooted tree.
R. F. Allen, C. Jackson
semanticscholar   +1 more source

Metrical Boundedness and Compactness of a New Operator between Some Spaces of Analytic Functions

open access: yesAxioms, 2023
The metrical boundedness and metrical compactness of a new operator from the weighted Bergman-Orlicz spaces to the weighted-type spaces and little weighted-type spaces of analytic functions are characterized.
Stevo Stević
doaj   +1 more source

Bounded on the semi-axis multiperiodic solution of a linear finite-hereditarity integro-differential equation of parabolic type

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
The question of the existence of a solution of linear integro-differential systems of parabolic type limited on the semiaxis in a spatial variable and multiperiodic in time variables was considered. Sufficient conditions of multiperiodic oscillations in
Zh.A. Sartabanov, G.M. Aitenova
doaj   +1 more source

DETERMINISTIC SYSTEMS WITH NATURAL QUANTIZATION [PDF]

open access: yesНаучно-технический вестник информационных технологий, механики и оптики, 2020
Subject of Research. The research of deterministic systems is a topical problem of natural science. The paper presents an approach for behavior study of the deterministic systems.
Victoria V. Golovina   +2 more
doaj   +1 more source

Spectral synthesis for the differentiation operator in the Schwartz space [PDF]

open access: yesMathematical Notes, 2017
We consider the spectral synthesis problem for the differentiation operator on the space of infinitely differentiable functions on a finite or infinite interval of the real line and the dual problem of local description of closed submodules in a special ...
N. Abuzyarova
semanticscholar   +2 more sources

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