Results 11 to 20 of about 30 (22)

On some classes of almost periodic functions in abstract spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 61, Page 3237-3247, 2004., 2004
We deal with C(n)‐almost periodic functions taking values in a Banach space. We give several properties of such functions, in particular, we investigate their behavior in view of differentiation as well as integration. The superposition operator acting in the space of such functions is also under consideration.
Dariusz Bugajewski   +1 more
wiley   +1 more source

Block Toeplitz operators with frequency‐modulated semi‐almost periodic symbols

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 34, Page 2157-2176, 2003., 2003
This paper is concerned with the influence of frequency modulation on the semi‐Fredholm properties of Toeplitz operators with oscillating matrix symbols. The main results give conditions on an orientation‐preserving homeomorphism α of the real line that ensure the following: if b belongs to a certain class of oscillating matrix functions (periodic ...
A. Böttcher, S. Grudsky, I. Spitkovsky
wiley   +1 more source

Stepanov-like pseudo almost periodic functions on time scales and applications to dynamic equations with delay

open access: yesOpen Mathematics, 2018
In this paper, we introduce the concept of Sp-pseudo almost periodicity on time scales and present some basic properties of it, including the translation invariance, uniqueness of decomposition, completeness and composition theorem.
Tang Chao-Hong, Li Hong-Xu
doaj   +1 more source

ON COMPACTNESS OF C(n)-ALMOST PERIODIC FUNCTIONS

open access: yes, 1999
In this paper we give a compactness criterion for -almost periodic functions. Some properties of these functions are shown. 1. Preliminaries We first recall the basic notations related to Steklov functions and C ^ -almost periodic functions.
M. Adamczak
semanticscholar   +1 more source

(VC)(n)-ALMOST PERIODIC FUNCTIONS

open access: yes, 1999
In this note we give the definition and some properties of (VC)^^-almost periodic functions, i.e. uniformly almost periodic and almost periodic in variation functions with first n derivatives.
S. Stoiński
semanticscholar   +1 more source

Almost periodic functions on time scales and their properties

open access: yesOpen Mathematics
In this article, we first propose a concept of almost periodic functions on arbitrary time scales, which is defined by trigonometric polynomial approximations with respect to supremum norm, and study some basic properties of these kinds of functions ...
Li Yongkun, Huang Xiaoli
doaj   +1 more source

Weyl almost periodic functions on time scales and their Fourier series

open access: yesDemonstratio Mathematica
In this paper, firstly, we propose a concept of Weyl almost periodic functions on time scales by trigonometric polynomial approximation, and study some basic properties of Weyl almost periodic functions on time scales.
Li Yongkun, Huang Xiaoli
doaj   +1 more source

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