ABSTRACT

An array is sometimes called a numerical sequence, a functional sequence or a time-series. In the remainder of the paper we shall mainly refer to an array as a numerical sequence, or sometimes just as a sequence. Brillinger [4] gives a nice exposition of stationary arrays. Other works by Gardner concerning cyclostationary stochastic processes and cyclostationary time series include [8, p. 377], [9], and [10]. In the latter, a probability is defined in a fraction of time sense, and these ideas have been extended to almost periodic and higher order cases [16, 17]. Bass [2] deals with continuous time "pseudo-random" functions and gives a method, also useful in the current context, for understanding the completion of a pre-Hilbert space generated by a single numerical function.