Results 1 to 10 of about 40 (34)
Metrical Besicovitch almost automorphy and applications
, 2023 In this paper, we reconsider and slightly generalize various classes of Besicovitch almost automorphic functions from ([Selected Topics in Almost Periodicity, W. de Gruyter, Berlin, 2022] and [J. Nonl. Evol. Equ. Appl. 3 (2023), 35-52]).
Kostić, Marko
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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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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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Convolution on spaces of locally summable functions
Journal of Function Spaces, Volume 6, Issue 2, Page 187-203, 2008., 2008 In this work we prove the existence of convolution on Marcinkiewicz spaces 𝔐p(ℝ), 1 ≤ p < ∞, and, using pointwise approximate identities, we extend the classical definition of Hilbert transform to such spaces.
Federica Andreano +2 more
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The Bessel‐Struve intertwining operator on ℂ and mean‐periodic functions
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 59, Page 3171-3185, 2004., 2004 We give a description of all transmutation operators from the Bessel‐Struve operator to the second‐derivative operator. Next we define and characterize the mean‐periodic functions on the space ℋ of entire functions and we characterize the continuous linear mappings from ℋ into itself which commute with Bessel‐Struve operator.
A. Gasmi, M. Sifi
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On some classes of almost periodic functions in abstract spaces
International 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
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Open 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
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Block Toeplitz operators with frequency‐modulated semi‐almost periodic symbols
International 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
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Almost periodic functions on time scales and their properties
Open MathematicsIn 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
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Commutants of the Dunkl Operators in C(R) [PDF]
, 2006 2000 Mathematics Subject Classification: 44A35; 42A75; 47A16, 47L10, 47L80The Dunkl operators.* Supported by the Tunisian Research Foundation under 04/UR/15 ...
Hristov, Valentin +5 more
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