From slightly coloured noises to unitless product systems

Abstract

Stationary Gaussian generalized random processes having slowly decreasing spectral densities give rise to product systems in the sense of William Arveson (basically, continuous tensor product systems of Hilbert spaces). A continuum of nonisomorphic unitless product systems is produced, answering a question of Arveson.

56 pages, LaTeX2e

References in corpus (1)

• From random sets to continuous tensor products: answers to three questions of W. Arveson

Cited by in corpus (5)

• Ergodic properties of a class of non-Markovian processes
• Product Systems; a Survey with Commutants in View
• Spectral densities describing off-white noises
• Local Unitary Cocycles of E_0-semigroups
• Subproduct systems and Cartesian systems; new results on factorial languages and their relations with other areas