Results 11 to 20 of about 4,577,180 (288)
Structure of Fourier exponents of almost periodic functions and periodicity of almost periodic functions [PDF]
Mathematica Bohemica, 1996 For Banach space valued functions the definition of almost periodicity is introduced using the density of \(\varepsilon\)-almost periods in \(\mathbb R\). This definition is equivalent to the definition given by S. Bochner. The structure of Fourier exponents and of the range of almost periodic functions is studied in the paper and it is shown that the ...
Fischer, Alexandr
openaire +4 more sources
Almost periodic functions in quantum calculus [PDF]
Electronic Journal of Differential Equations, 2018 In this article, we introduce the concepts of Bochner and Bohr almost periodic functions in quantum calculus and show that both concepts are equivalent.
Martin Bohner, Jaqueline G. Mesquita
doaj +5 more sources
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
doaj +2 more sources
Some Properties of Weighted Pseudo almost Periodic Functions
Abstract and Applied Analysis, 2013 Several interesting and new properties of weighted pseudo almost periodic functions are established. Firstly, we obtain an equivalent definition for weighted pseudo almost periodic functions, which shows a close relationship between asymptotically almost
Zhe-Ming Zheng +2 more
doaj +2 more sources
Remotely $c$-almost periodic type functions in ${\mathbb{R}}^{n}$
, 2022 summary:In this paper, we relate the notions of remote almost periodicity and quasi-asymptotical almost periodicity; in actual fact, we observe that a remotely almost periodic function is nothing else but a bounded, uniformly continuous quasi ...
Kostić, Marco, Kumar, Vipin
core +2 more sources
Further properties of Stepanov--Orlicz almost periodic functions [PDF]
, 2020 summary:We revisit the concept of Stepanov--Orlicz almost periodic functions introduced by Hillmann in terms of Bochner transform. Some structural properties of these functions are investigated.
Boulahia, Fatiha +2 more
core +1 more source
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 ...
openaire +1 more source
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 ...
openaire +2 more sources
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
doaj +1 more source
Characterization of the strict convexity of the Besicovitch-Musielak-Orlicz space of almost periodic functions [PDF]
, 2007 summary:We introduce the new class of Besicovitch-Musielak-Orlicz almost periodic functions and consider its strict convexity with respect to the Luxemburg ...
Morsli, Mohamed, Smaali, Mannal
core +3 more sources