Results 21 to 30 of about 144 (46)

Almost periodic functions on time scales and their properties

Open Mathematics
In 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
doaj   +1 more source

Mean-Periodic Functions Associated with the Jacobi-Dunkl Operator on R [PDF]

, 2006
2000 Mathematics Subject Classification: 34K99, 44A15, 44A35, 42A75, 42A63Using a convolution structure on the real line associated with the Jacobi-Dunkl differential-difference operator Λα,β given by: Λα,βf(x) = f'(x) + ((2α + 1) coth x + (2β + 1) tanh
Ben Salem, N., Ould Ahmed Salem, A., Selmi, B.   +2 more
core  

Weyl almost periodic functions on time scales and their Fourier series

Demonstratio Mathematica
In this paper, firstly, we propose a concept of Weyl almost periodic functions on time scales by trigonometric polynomial approximation, and study some basic properties of Weyl almost periodic functions on time scales.
Li Yongkun, Huang Xiaoli
doaj   +1 more source

On nonlinear Schr\"odinger equations with almost periodic initial data [PDF]

, 2015
We consider the Cauchy problem of nonlinear Schr\"odinger equations (NLS) with almost periodic functions as initial data. We first prove that, given a frequency set $\pmb{\omega} =\{\omega_j\}_{j = 1}^\infty$, NLS is local well-posed in the algebra ...
Oh, Tadahiro
core  

Tube formulas and complex dimensions of self-similar tilings

, 2010
We use the self-similar tilings constructed by the second author in "Canonical self-affine tilings by iterated function systems" to define a generating function for the geometry of a self-similar set in Euclidean space. This tubular zeta function encodes
Lapidus, Michel L., Pearse, Erin P. J.
core   +1 more source

Lattice-type self-similar sets with pluriphase generators fail to be Minkowski measurable

, 2015
A long-standing conjecture of Lapidus claims that under certain conditions, self-similar fractal sets fail to be Minkowski measurable if and only if they are of lattice type.
Kombrink, Sabrina, Pearse, Erin P. J., Winter, Steffen   +2 more
core   +1 more source

Amibes de Sommes d'Exponentielles

, 2005
We study the amoebae (in S. Favorov's sense) of finite systems of exponential sums with real spectra. For generic systems of this type, we give a more effective representation of the amoeba and we prove that the complementary set to the amoeba of a ...
Eisenbud, Favorov, Forsberg, Henriques, James Silipo, Kazarnovski, Meyer, Mikhalkin, Passare, Ronkin, Rullg°ard, Rullg°ard, Rullg°ard, Yger   +13 more
core   +2 more sources

Strictly positive definite functions on the real line [PDF]

, 2010
We give some necessary or sufficient conditions for a function to be strictly positive definite on $\mathbb R$.
Derrien, Fabrice
core   +1 more source

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A connection between almost periodic functions defined on timescales and ℝ

Applicable Analysis, 2014
Carlos Lizama, Jaqueline Godoy Mesquita, Rodrigo Ponce   +2 more
exaly  

On Stepanov almost-periodic oscillations and their discretizations

Journal of Difference Equations and Applications, 2012
Jan Andres, Denis Pennequin
exaly