From slightly coloured noises to unitless product systems

Details From slightly coloured noises to unitless product systems From slightly coloured noises to unitless product systems

2000-06-22

arxiv.org/abs/math/0006165v1

Mathematics

Functional Analysis

56 pages, LaTeX2e

Scientific paper

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.

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