No abstract

We provide an almost-sure convergent expansion of a process with power law of fractional order by means of some known theorems from harmonic analysis and rather simple probability theory results.

No abstract

Let G be an LCA group, H a closed subgroup, Γ the dual group of G and µ be a regular finite non-negative Borel measure on Γ . We give some necessary and sufficient conditions for the density of the set of trigonometric polynomials on Γ with frequencies from H in the space L α (µ), α ∈ (0, ∞).