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BEST CONSTANTS IN NORMS OF WICK PRODUCTS

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2006
Let [Formula: see text] be a Fock space and, for any non-negative integer k, let [Formula: see text] 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 [Formula: see text].
openaire   +1 more source

A Fedosov Star Product of the Wick Type for Kähler Manifolds

Letters in Mathematical Physics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bordemann, M., Waldmann, S.
openaire   +2 more sources

Anti-Wick Symbols for Infinite Products in K-Homology

K-Theory, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kosyak, Alexandr, Zekri, Richard
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Recursion Relation for Wick Products of the CCR Algebra

Complex Analysis and Operator Theory, 2008
In this paper we obtain an explicit recursion relation for the Wick products of the CCR algebra in terms of Wick products of lesser order and the Bose fields. From this formula we prove that the Fock (vacuum) state vanishes for the commutation of the Wick products of order n and the Bose fields,being \(n\, \in\, {\mathbb N}\), n > 1.
Benito J. González, Emilio R. Negrin
openaire   +1 more source

On the product of wick polynomials in the axiomatic field theory

Il Nuovo Cimento A, 1965
A provisional definition of the product of Wick polynomial expansion of operators in axiomatic field theory is suggested. This definition is applied for the computation of the asymptotic forms of the currents in the model of quantum electrodynamics, which are shown to agree with the expressions of the renormalized canonical theory.
A. Böhm, M. Polivanov
openaire   +1 more source

Generalized Riccati Wick differential equation and applications

Sao Paulo Journal of Mathematical Sciences, 2020
Hafedh Rguigui, Rguigui Hafedh
exaly  

Wick calculus for nonlinear Gaussian functionals

Acta Mathematicae Applicatae Sinica, 2009
Yan Jia-An
exaly  

Wick product of white noise operators and quantum stochastic differential equations

Journal of the Mathematical Society of Japan, 1999
Nobuaki Obata
exaly  

Arbitrage in a Discrete Version of the Wick-Fractional Black-Scholes Market

Mathematics of Operations Research, 2004
Robert J Elliott
exaly  

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