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A class of $I_{0}$ -sets

David Grow (1987)

Colloquium Mathematicae

A further note on a class of $I_{0}$ -sets

David Grow (1987)

Colloquium Mathematicae

A generalization of amenability and inner amenability of groups

Ali Ghaffari (2012)

Czechoslovak Mathematical Journal

Let $G$ be a locally compact group. We continue our work [A. Ghaffari: $Γ$ -amenability of locally compact groups, Acta Math. Sinica, English Series, 26 (2010), 2313–2324] in the study of $Γ$ -amenability of a locally compact group $G$ defined with respect to a closed subgroup $Γ$ of $G \times G$ . In this paper, among other things, we introduce and study a closed subspace $A_{Γ}^{p} (G)$ of $L^{\infty} (Γ)$ and then characterize the $Γ$ -amenability of $G$ using $A_{Γ}^{p} (G)$ . Various necessary and sufficient conditions are found for a locally compact group to possess...

A numerical invariant for finitely generated groups via actions on graphs.

William L. Paschke (1993)

Mathematica Scandinavica

A property of a decomposition of weakly almost periodic functions

Jadwiga Porada (1976)

Colloquium Mathematicae

A remark on harmonic analysis of strongly almost-periodic groups of linear operators

S. Zaidman (1972)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Adèles et séries trigonométriques spéciales

Yves Meyer (1971/1972)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Almost automorphic and pseudo-almost automorphic solutions to semilinear evolution equations with nondense domain.

de Andrade, Bruno, Cuevas, Claudio (2009)

Journal of Inequalities and Applications [electronic only]

Almost automorphic functions with values in $p$ -Fréchet spaces.

Gal, Ciprian G., Gal, Sorin G., N'Guérékata, Gaston M. (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Almost automorphic mild solutions to some semilinear abstract differential equations with deviated argument in Fréchet spaces.

Gal, Ciprian G. (2006)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Almost automorphic solution for some stochastic evolution equation driven by Lévy noise with coefficients S2−almost automorphic

Mamadou Moustapha Mbaye (2016)

Nonautonomous Dynamical Systems

In this work we first introduce the concept of Poisson Stepanov-like almost automorphic (Poisson S2−almost automorphic) processes in distribution. We establish some interesting results on the functional space of such processes like an composition theorems. Next, under some suitable assumptions, we establish the existence, the uniqueness and the stability of the square-mean almost automorphic solutions in distribution to a class of abstract stochastic evolution equations driven by Lévy noise in case...

Almost automorphic solutions of neutral functional differential equations.

Mophou, Gisèle M., N'Guérékata, Gaston M. (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Almost automorphic solutions to abstract fractional differential equations.

Ding, Hui-Sheng, Liang, Jin, Xiao, Ti-Jun (2010)

Advances in Difference Equations [electronic only]

Almost automorphy of semilinear parabolic evolution equations.

Baroun, Mahmoud, Boulite, Said, N'guerekata, Gaston M., Maniar, Lahcen (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Almost periodic compactifications of direct and semidirect products

Paul Milnes (1981)

Colloquium Mathematicae

Almost periodic compactifications of group extensions

H. D. Junghenn, Paul Milnes (2002)

Czechoslovak Mathematical Journal

Let $N$ and $K$ be groups and let $G$ be an extension of $N$ by $K$ . Given a property $𝒫$ of group compactifications, one can ask whether there exist compactifications $N^{'}$ and $K^{'}$ of $N$ and $K$ such that the universal $𝒫$ -compactification of $G$ is canonically isomorphic to an extension of $N^{'}$ by $K^{'}$ . We prove a theorem which gives necessary and sufficient conditions for this to occur for general properties $𝒫$ and then apply this result to the almost periodic and weakly almost periodic compactifications of $G$ .

Almost Periodic Functions on Hypergroups.

Rupert Lasser (1980)

Mathematische Annalen

Almost periodic Radon-Nikodym derivatives

Larsen, R. (1974)

Portugaliae mathematica

Almost periodic sequences and functions with given values

Michal Veselý (2011)

Archivum Mathematicum

We present a method for constructing almost periodic sequences and functions with values in a metric space. Applying this method, we find almost periodic sequences and functions with prescribed values. Especially, for any totally bounded countable set $X$ in a metric space, it is proved the existence of an almost periodic sequence ${ψ_{k}}_{k \in ℤ}$ such that ${ψ_{k}; k \in ℤ} = X$ and $ψ_{k} = ψ_{k + l q (k)}$ , $l \in ℤ$ for all $k$ and some $q (k) \in ℕ$ which depends on $k$ .

Almost periodic solutions with a prescribed spectrum of systems of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Fourier transform approach)

Alexandr Fischer (2004)

Mathematica Bohemica

This paper is a continuation of my previous paper in Mathematica Bohemica and solves the same problem but by means of another method. It deals with almost periodic solutions of a certain type of almost periodic systems of differential equations.

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