The recently developed mathematical framework of Hilbert resolution space valued random
processes is used to formulate and solve an abstract quadratic optimization problem. By …

Given a finite set {(xi, yi)} of ordered pairs from X× Y where X, Y are Hilbert spaces over the
same field, there are numerous techniques for constructing a function, ƒ, on X to Y such that …

In a recent paper PM Prenter has shown that the Weierstrass theorem can be lifted up to a
real separable Hilbert space H. In this paper H is equipped with an identity resolving …

An overview of recent results on basic causality structure properties, additive canonical
decompositions, and the connections between these decompositions and other systems …

Necessary and sufficient conditions for the solvability of the polynomial operator
interpolation problem in an arbitrary vector space are obtained (for the existence of a …

This paper is about the causality structure of systems in Hilbert spaces. While treatments on
the subjects are usually confined to systems which enjoy properties such as linearity …

In some recent work Kailath and Duttweiler used reproducing Kernel Hilbert space
techniques, together with a highly non-standard time structure, to formulate a representation …

Certain Banach spaces, denoted L_T^p, of equivalence classes of functions of a real
variable are introduced and investigated. These are to be used as system input and output …

Bilinear operators on Hilbert resolution spaces provide the setting for the analysis of linear
systems with multiplicative control. Recent results on the solution of certain strictly causal …

The present note is about the problem of representing a nonphysically realizable system in
terms of the sum of a physically realizable system plus a purely anticipative system. It …