Every non-zero complex homomorphism of the almost periodic functions on an abelian group is induced by the Fourier transform. A Plancherel formula for almost periodic functions and a necessary ...

Almost automorphic solutions represent a sophisticated generalisation of almost periodic functions and have become an increasingly influential concept in the study of differential equations. These ...

In this paper, we analyze several various classes of Stepanov multi-dimensional almost periodic functions in Lebesgue spaces with variable exponents. The introduced classes seem to be new and not ...