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Almost periodic and asymptotically almost periodic functions: part I [PDF]

open access: yesAdvances in Difference Equations, 2018
In this paper, we review indispensable properties and characterizations of almost periodic functions and asymptotically almost periodic functions in Banach spaces.
Dhaou Lassoued, Rahim Shah, Tongxing Li
doaj   +2 more sources

Holomorphic semi-almost periodic functions [PDF]

open access: yesIntegral Equations and Operator Theory, 2009
We study the Banach algebras of bounded holomorphic functions on the unit disk whose boundary values, having, in a sense, the weakest possible discontinuities, belong to the algebra of semi-almost periodic functions on the unit circle. The latter algebra
Brudnyi, A., Kinzebulatov, D.
core   +4 more sources

Almost periodic functions, constructively [PDF]

open access: yesLogical Methods in Computer Science, 2005
The almost periodic functions form a natural example of a non-separable normed space. As such, it has been a challenge for constructive mathematicians to find a natural treatment of them.
Bas Spitters
doaj   +5 more sources

Almost Periodic Time Scales and Almost Periodic Functions on Time Scales [PDF]

open access: yesJournal of Applied Mathematics, 2015
We propose some new concepts of almost periodic time scales and almost periodic functions on time scales and give some basic properties of these new types of almost periodic time scales and almost periodic functions on time scales.
Yongkun Li, Bing Li
doaj   +3 more sources

Almost periodic functions on Hausdorff almost periodic time scales

open access: yesAdvances in Difference Equations, 2017
This paper is devoted to generalizing the notion of almost periodic functions on time scales. We introduce a new class of almost periodic time scales called Hausdorff almost periodic time scales by using the Hausdorff distance and propose a more general ...
Desheng Ji, Liu Yang, Jimin Zhang
doaj   +2 more sources

Extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm [PDF]

open access: yesOpuscula Mathematica, 2021
In the present paper, we give criteria for the existence of extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm.
Fatiha Boulahia, Slimane Hassaine
doaj   +1 more source

The research of some classes of almost periodic at infinity functions [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021
The article under consideration is devoted to continuous almost periodic at infinity functions defined on the whole real axis and with their values in a complex Banach space.
Vysotskaya, Irina A.   +1 more
doaj   +1 more source

Composition Theorems of Stepanov Almost Periodic Functions and Stepanov-Like Pseudo-Almost Periodic Functions

open access: yesAdvances in Difference Equations, 2011
We establish a composition theorem of Stepanov almost periodic functions, and, with its help, a composition theorem of Stepanov-like pseudo almost periodic functions is obtained.
Hui-Sheng Ding, Wei Long
doaj   +2 more sources

Almost Periodic Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1952
One of the aims in the study of almost periodic functions on a group is to generalize the Fejer summation process, whereby the Fourier series may be summed to yield the function. This has been achieved partially by Bochner-von Neumann [1] and Maak [2; 3].J But in [3] Maak says "In general it is not possible to give a summation procedure which may be ...
openaire   +1 more source

Harmonic analysis of functions almost periodic at infinity in Banach modules [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021
The article is devoted to homogeneous spaces of functions defined on a locally compact Abelian group and with their values in a complex Banach space.
Strukova, Irina Igorevna
doaj   +1 more source

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