Results 11 to 20 of about 554,389 (270)
CONTINUOUS MAPPINGS OF ALMOST AUTOMORPHIC AND ALMOST PERIODIC FUNCTIONS [PDF]
Proceedings of the National Academy of Sciences, 1964 openaire +5 more sources
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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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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c-Almost periodic type functions and applications
Nonautonomous Dynamical Systems, 2020 In this paper, we introduce several various classes of c-almost periodic type functions and their Stepanov generalizations, where c ∈ ℂ and |c| = 1. We also consider the corresponding classes of c-almost periodic type functions depending on two variables
Khalladi M. T. +4 more
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Bohr's equivalence relation in the space of Besicovitch almost periodic functions [PDF]
, 2018 Based on Bohr's equivalence relation which was established for general Dirichlet series, in this paper we introduce a new equivalence relation on the space of almost periodic functions in the sense of Besicovitch, $B(\mathbb{R},\mathbb{C})$, defined in ...
Sepulcre, J. M., Vidal, T.
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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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Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups [PDF]
, 2015 We investigate the automorphism groups of $\aleph\_0$-categorical structures and prove that they are exactly the Roelcke precompact Polish groups. We show that the theory of a structure is stable if and only if every Roelcke uniformly continuous function
Tsankov, Todor, Yaacov, Itaï Ben
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Sampling Almost Periodic and Related Functions [PDF]
Constructive Approximation, 2019 22 ...
Ferri, Stefano +2 more
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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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