On Fourier-Stieltjes integrals
Ralph S. Phillips · Transactions of the American Mathematical Society · 1950
where y(s) belongs to the class V of functions of bounded variation, continuous on the right with y(c*) = 0. We shall show that this same representation theorem remains valid for almost all T if ?(r) is any measurable function satisfying (A)(2). The proof of this theorem is sufficiently general to include functions ?(r) with values in a separable Banach space Y [1 ] provided that the set of elements