Spectral properties of weakly asymptotically almost periodic semigroups in the sense of Stepanov
The spectral structure of the infinitesimal generator of strongly measurable, asymptotically -almost periodic semigroups is investigated.
The spectral structure of the infinitesimal generator of strongly measurable, asymptotically -almost periodic semigroups is investigated.
The paper deals with almost periodic functions which are limits of sequences of continuous periodic functions, and determines the structure of their Fourier exponents and their ranges. It is shown that the class of continuous periodic functions is not densely distributed in the space .
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.