Almost periodic functions serve as a powerful conceptual framework in analysing differential equations whose coefficients or forcing terms exhibit recurrent behaviour over time. Rooted in the ...

In this paper the positive and strictly contractive extension problems for almost periodic matrix functions are treated. We present necessary and sufficient conditions for the existence of extensions ...

A mathematical theorem stating that a PERIODIC function f(x) which is reasonably continuous may be expressed as the sum of a series of sine or cosine terms (called the Fourier series), each of which ...

Denote by 𝐴𝑃(G) (respectively ap(G)) the space of all almost periodic functions (respectively almost periodic measures) defined on a Hausdorff locally compact abelian group 𝐺 and by 𝑀(μ) or ...