The convolution-induced topology on (G) and linearly dependent translates in G).
The topological centre of a compactification of a locally compact group.
The universal semilattice compactification of a semigroup.
The weakly almost periodic compactification: Another approach.
Three results on I-sets
Translational averaging for completeness, characterization and oversampling of wavelets.
The single underlying method of averaging the wavelet functional over translates yields first a new completeness criterion for orthonormal wavelet systems, and then a unified treatment of known results on characterization of wavelets on the Fourier transform side, on preservation of frame bounds by oversampling, and on equivalence of affine and quasiaffine frames. The method applies to multiwavelet systems in all dimensions, to dilation matrices that are in some cases not expanding, and to dual...
Translation-invariant function algebras on abelian groups
Uniform limit power-type function spaces.
Un'osservazione su un criterio di compattezza per le funzioni vettoriali quasi periodiche
Vector-valued means and their applications in some vector-valued function spaces [Book]
Vector-valued means and weakly almost periodic functions.
Vector-valued pseudo almost periodic functions
Vector-valued pseudo almost periodic functions are defined and their properties are investigated. The vector-valued functions contain many known functions as special cases. A unique decomposition theorem is given to show that a vector-valued pseudo almost periodic function is a sum of an almost periodic function and an ergodic perturbation.
Weak Almost Periodicity of Haar Measurable Functions.
Weak almost Periodicity on C*-Algebras.
Weakly Almost Periodic Functions.
Weakly almost periodic functions and irregularity of multiplication in semigroup algebras.
Weakly Almost Periodic Functions on Hypergroups.
Weakly almost periodic representations of semigroups by Markov operators.
Weakly almost periodic vector-valued functions [Book]
Weighted pseudo almost automorphic functions with applications to abstract dynamic equations on time scales
We propose a concept of weighted pseudo almost automorphic functions on almost periodic time scales and study some important properties of weighted pseudo almost automorphic functions on almost periodic time scales. As applications, we obtain the conditions for the existence of weighted pseudo almost automorphic mild solutions to a class of semilinear dynamic equations on almost periodic time scales.