The paper is devoted to a matrix generalization of a problem studied by Grenander and Rosenblatt (Trans. Amer. Math. Soc. 76 (1954) 112–126) and deals with the computation of the infimum D of R T Q… (More)

Abstract. Let W be an integrable positive Hermitian q × q-matrix valued function on the dual group of a discrete abelian group G such that W is integrable. Generalizing results of T. Nakazi and ofA.… (More)

Let n ∈ N, S be a nonempty finite subset of the set of integers, S be its complement, and J be the family of translations of S by ln, l ∈ Z. For such a family, J -regularity of a q-variate stationary… (More)

A notion of convergence in measure with respect to a matrixvalued measureM is discussed and a corresponding metric space denoted by L0(M) is introduced. There are given some conditions on M under… (More)