MALLIAVIN CALCULUS AND SKOROHOD INTEGRATION FOR QUANTUM STOCHASTIC PROCESSES

DOI10.1142/S0219025701000371zbMath1043.81041arXivmath/0004088OpenAlexW3103883116MaRDI QIDQ4460436

Rémi Léandre, René Schott, Uwe Franz

Publication date: 18 May 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0004088

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Quantum stochastic calculus (81S25) Stochastic calculus of variations and the Malliavin calculus (60H07)

Related Items (2)

Smoothness of Wigner densities on the affine algebra ⋮ Non-Gaussian Malliavin calculus on real Lie algebras

Cites Work

• Quantum Ito's formula and stochastic evolutions
• The Malliavin calculus, a functional analytic approach
• Stochastic calculus with respect to free Brownian motion and analysis on Wigner space
• Quantum and non-causal stochastic calculus
• Potential theory on Hilbert space
• [https://portal.mardi4nfdi.de/wiki/Publication:3889862 Martingales, the Malliavin calculus and hypoellipticity under general H�rmander's conditions]
• Malliavin calculus for quantum stochastic processes

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