In this paper we develop a theory of t-cycle D - Z representations for s-dimensional lattice rules of prime-power order. Of particular interest are canonical forms which, by definition, have a ...

Let T be an operator-weighted shift whose weights are 2-by-2 matrices. We say that, given ε > 0, T is in the ε-canonical form if each weight is an upper triangular matrix (aij), with 0 ≤ a11, a22 ≤ 1 ...