From slightly coloured noises to unitless product systems

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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

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Functional Analysis, Probability, 46L55; 60G20, 60G30

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http://salesiana.dossiersoluciones.com/handle/123456789/59454

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0006165
 http://arxiv.org/abs/math/0006165

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arXiv