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ON THE QUADRATIC HEISENBERG GROUP

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2010
In this paper we introduce the quadratic Weyl operators canonically associated to the one mode renormalized square of white noise (RSWN) algebra as unitary operator acting on the one mode interacting Fock space {Γ, {ωn, n ∈ ℕ}, Φ} where {ωn, n ∈ ℕ} is the principal Jacobi sequence of the nonstandard (i.e. neither Gaussian nor Poisson) Meixner classes.
ACCARDI, LUIGI, Ouerdiane, H, Rebei, H.
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