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- W2004657907 abstract "Let be a Fock space and, for any non-negative integer k, let be the sum of all homogeneous chaos spaces of order at most k. For all non-negative integers m and n, the Wick product is a bounded bilinear operator from Γ (Hc)m × Γ (Hc)n into Γ (Hc)m +n with norm greater than or equal to . In the monograph1 S. Janson conjectured that this lower bound is exact. In this paper we prove this conjecture. In addition, we prove that a pair of nonzero vectors (ϕ, ψ)∈ Γ (Hc)m × Γ (Hc)n achieve this bound if and only if both vectors are multiples of the homogeneous products, i.e. ϕ =αu⊗m, ψ =βu⊗n, with u, v∈ Hc and α, β ∈ ℂ." @default.
- W2004657907 created "2016-06-24" @default.
- W2004657907 creator A5074939052 @default.
- W2004657907 date "2006-06-01" @default.
- W2004657907 modified "2023-10-18" @default.
- W2004657907 title "BEST CONSTANTS IN NORMS OF WICK PRODUCTS" @default.
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- W2004657907 doi "https://doi.org/10.1142/s0219025706002299" @default.
- W2004657907 hasPublicationYear "2006" @default.
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