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Almost periodic and asymptotically almost periodic functions: part I [PDF]
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
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Holomorphic semi-almost periodic functions [PDF]
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.
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Almost periodic functions, constructively [PDF]
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
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Almost Periodic Time Scales and Almost Periodic Functions on Time Scales [PDF]
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
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Almost periodic functions on Hausdorff almost periodic time scales
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
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Extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm [PDF]
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
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The research of some classes of almost periodic at infinity functions [PDF]
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
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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
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Almost Periodic Functions [PDF]
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 ...
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Harmonic analysis of functions almost periodic at infinity in Banach modules [PDF]
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
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