Results 11 to 20 of about 56,622 (264)
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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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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Linear Functionals on Almost Periodic Functions [PDF]
Transactions of the American Mathematical Society, 1953 Our aim is, first, to present two realizations of the space 1* of all bounded complex linear functionals on 21, and, second, to use these realizations for the study of positive definite functions which are not necessarily continuous. In this fashion, we obtain a generalization of Bochner's representation theorem for continuous positive definite ...
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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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On the relationship of Cm $C^{m}$-almost periodicity on R $\mathbb {R}$ and time scales
Advances in Difference Equations, 2018 In this paper, we improve the concept of Cm $C^{m}$-almost periodicity on periodic time scales. The concept is based on the revised definition of almost periodicity introduced by Wang and Agarwal in 2015.
Yan Wang
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Abstract and Applied Analysis, 2011 Firstly, we propose a concept of uniformly almost periodic functions on almost periodic time scales and investigate some basic properties of them. When time scale T=ℝ or ℤ, our definition of the uniformly almost periodic functions is equivalent to the ...
Yongkun Li, Chao Wang
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A matched space for time scales and applications to the study on functions
Advances in Difference Equations, 2017 In this paper, using the algebraic structure of the Abelian group, we introduce the concept of a matched space for time scales, and we construct the algebraic structure of matched spaces to solve the closedness of time scales under non-translational ...
Chao Wang +2 more
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Almost Periodic Functions and Their Applications: A Survey of Results and Perspectives
Journal of Mathematics, 2021 The main aim of this survey article is to present several known results about vector-valued almost periodic functions and their applications. We separately consider almost periodic functions depending on one real variable and almost periodic functions ...
Wei-Shih Du, Marko Kostić, Manuel Pinto
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Characterizations of vector-valued weakly almost periodic functions
International Journal of Mathematics and Mathematical Sciences, 2003 We characterize the weak almost periodicity of a vector-valued, bounded, continuous function. We show that if the range of the function is relatively weakly compact, then the relative weak compactness of its right orbit is equivalent to that of its left ...
Chuanyi Zhang
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Subharmonic Almost Periodic Functions
, 2007 We prove that almost periodicity in the sense of distributions coincides with almost periodicity with respect to Stepanov's metric for the class of subharmonic functions in a horizontal strip. We also prove that Fourier coefficients of these functions are continuous functions in Im z.
Rakhnin, A.V., Favorov, S.Yu.
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