Generalized Bernoulli Wick differential equation

DOI10.1142/S0219025721500089zbMath1478.46042OpenAlexW3135867321WikidataQ115245776 ScholiaQ115245776MaRDI QIDQ4995038

Sami H. Altoum, Hafedh Rguigui, Aymen Ettaieb

Publication date: 23 June 2021

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

Full work available at URL: https://doi.org/10.1142/s0219025721500089

zbMATH Keywords

Wick productgeneralized functionsgeneralized Bernoulli Wick differential equationsWick invertible

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) White noise theory (60H40) Nonlinear ordinary differential operators (34L30) Distributions on infinite-dimensional spaces (46F25)

Related Items (3)

Stochastic Bernoulli equation on the algebra of generalized functions ⋮ Stochastic Clairaut equation on algebra of generalized functions ⋮ Generalized Riccati Wick differential equation and applications

Cites Work

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• New integrability case for the Riccati equation
• Quantum white noise convolution operators with application to differential equations
• Characterization of the \texttt{QWN}-conservation operator and applications
• Quantum \(\lambda\)-potentials associated to quantum Ornstein-Uhlenbeck semigroups
• White noise calculus and Fock space
• Fractional number operator and associated fractional diffusion equations
• A duality theorem between spaces of holomorphic functions of exponential growth
• Quantum Ornstein-Uhlenbeck semigroups
• Operator theory: quantum white noise approach
• Wick differential and Poisson equations associated to the 𝚀𝚆𝙽-Euler operator acting on generalized operators
• A NOTE ON CONVOLUTION OPERATORS IN WHITE NOISE CALCULUS
• Powers of quantum white noise derivatives
• STOCHASTIC HEAT EQUATION ON ALGEBRA OF GENERALIZED FUNCTIONS
• Calculating Normal-Ordered Forms in Fock Space by Quantum White Noise Derivatives
• RENORMALIZED HIGHER POWERS OF WHITE NOISE (RHPWN) AND CONFORMAL FIELD THEORY
• On Solutions of Certain Riccati Differential Equations

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