Series trigonometriques speciales et corps quadratiques
The paper is concerned with the spectral analysis for the class of linear operators in non-archimedean Hilbert space, where is a diagonal operator and is a rank one operator. The results of this paper turn out to be a generalization of those results obtained by Diarra.
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 .