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Please use this identifier to cite or link to this item: http://hdl.handle.net/2108/368

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
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