Quantum white noise convolution operators with application to differential equations

DOI10.1515/rose-2014-0019zbMath1329.60241OpenAlexW2319064210MaRDI QIDQ490363

Alberto Lanconelli, Abdessatar Barhoumi, Hafedh Rguigui

Publication date: 22 January 2015

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

Full work available at URL: https://doi.org/10.1515/rose-2014-0019

zbMATH Keywords

Wick productdifferential equationsquantum white noise convolution operators

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) White noise theory (60H40) Spaces of linear operators; topological tensor products; approximation properties (46A32) Distributions on infinite-dimensional spaces (46F25)

Related Items (7)

Euler's theorem for homogeneous white noise operators ⋮ Quantum white noise Gaussian kernel operators ⋮ Stochastic Clairaut equation on algebra of generalized functions ⋮ Infinite degrees of freedom Weyl representation: Characterization and application ⋮ Characterization of the \texttt{QWN}-conservation operator and applications ⋮ Operator theory: quantum white noise approach ⋮ Generalized Bernoulli Wick differential equation

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