Module white noise calculus

DOI10.1515/rose.2007.022zbMath1199.60251OpenAlexW2137701233MaRDI QIDQ5324847

Luigi Accardi, Wided Ayed, Habib Ouerdiane

Publication date: 8 August 2009

Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2108/82868

zbMATH Keywords

stochastic integrationHilbert modules

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) White noise theory (60H40) Diffusion processes and stochastic analysis on manifolds (58J65) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

Related Items (1)

Free white noise flows

Cites Work

• Quantum Ito's formula and stochastic evolutions
• A representation free quantum stochastic calculus
• Renormalized squares of white noise and other non-Gaussian noises as Lévy processes on real Lie algebras
• The Wigner semi-circle law in quantum electro dynamics
• The Unitarity Conditions for the Square of White Noise
• White Noise Approach to stochastic integration
• On characterizing quantum stochastic evolutions
• THE ITÔ TABLE OF THE SQUARE OF WHITE NOISE
• Passage from quantum systems with continuous spectrum to quantum Poisson processes on Hilbert modules

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