Let be the class of bounded non-decreasing functions defined on the real line which are normalized by the conditions ϕ(− ∞) = 0 , ϕ(t + 0) = ϕ(t).
Let be the class of Fourier-Stieltjes transforms of elements of i.e. the elements of and are connected by the relation
where ϕ ∊ and Φ ∊ .It is well known, and easy to verify that this mapping from to is one to one (1, p. 67, Satz 18).
Email your librarian or administrator to recommend adding this journal to your organisation's collection.