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Almost periodic and asymptotically almost periodic functions: part I [PDF]
Advances 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
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Diophantine approximations and almost periodic functions
Demonstratio Mathematica, 2017 In this paper we investigate the asymptotic behaviour of the classical continuous and unbounded almost periodic function in the Lebesgue measure.Using diophantine approximations we show that this function can be estimated by functions of polynomial type ...
Nawrocki Adam
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A Lyapunov-Based Analysis on the Almost Periodicity of Impulsive Conformable Reaction–Diffusion Neural Networks with Distributed Delays [PDF]
EntropyThe focus of this research is the qualitative behavior of a reaction–diffusion neural network with distributed delays and conformable derivatives under impulsive perturbations.
Ivanka Stamova +2 more
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Harmonic analysis of functions almost periodic at infinity in Banach modules [PDF]
Известия 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
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The research of some classes of almost periodic at infinity functions [PDF]
Известия 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
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On Hartman almost periodic functions [PDF]
Studia Mathematica, 2006 We consider multi-dimensional Hartman almost periodic functions and sequences, defined with respect to different averaging sequences of subsets in Rd or Zd. We consider the behavior of their Fourier-Bohr coefficients and their spectrum, depending on the particular averaging sequence, and we demonstrate this dependence by several examples. Extensions to
Cohen, Guy, Losert, Viktor
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On the connection between Sp-almost periodic functions defined on time scales and ℝ
Open Mathematics, 2022 It is well known that a sufficient and necessary condition for a continuous function gg to be almost periodic on time scale T{\mathbb{T}} is the existence of an almost periodic function ff on R{\mathbb{R}} such that ff is an extension of gg.
Yang Hao, Li Hong-Xu
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Computing with almost periodic functions [PDF]
Acta Crystallographica Section A Foundations of Crystallography, 2008 The paper develops a method for discrete computational Fourier analysis of functions defined on quasicrystals and other almost periodic sets. A key point is to build the analysis around the emerging theory of quasicrystals and diffraction in the setting on local hulls and dynamical systems.
Moody, R. V., Nesterenko, M., Patera, J.
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Sampling Almost Periodic and Related Functions [PDF]
Constructive Approximation, 2019 22 ...
Ferri, Stefano +2 more
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Almost Periodic Functions [PDF]
Proceedings 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 ...
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