DSpace - Tor Vergata: Item 2108/368

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Title:	Fock representation of the renormalized higher powers of white noise and the Virasoro--Zamolodchikov -w∞ *-Lie algebra
Authors:	Accardi, Luigi Boukas, Andreas
Keywords:	renormalized powers of white noise second quantization w1-algebra Virasoro algebra Zamolodchikov algebra Fock space moment systems continuous binomial distribution
Issue Date:	Jun-2007
Abstract:	The identification of the ∗–Lie algebra of the renormalized higher powers of white noise (RHPWN) and the analytic continuation of the second quantized Virasoro–Zamolodchikov–w1 ∗–Lie algebra of conformal field theory and high-energy physics, was recently established in [3] based on results obtained in [1] and [2]. In the present paper we show how the RHPWN Fock kernels must be truncated in order to be positive definite and we obtain a Fock representation of the two algebras. We show that the truncated renormalized higher powers of white noise (TRHPWN) Fock spaces of order ≥ 2 host the continuous binomial and beta processes.
URI:	http://arxiv.org/abs/0706.3397 http://hdl.handle.net/2108/368
Appears in Collections:	Research articles

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