Higher powers of analytical operators and associated ∗-Lie algebras

DOI10.1142/S0219025716500132zbMath1342.60117MaRDI QIDQ3186065

Hafedh Rguigui, Aymen Ettaieb, Narjess Turki Khalifa, Habib Ouerdiane

Publication date: 8 August 2016

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

zbMATH Keywords

Lie algebrapower of white noise operatorsspace of entire functions with \(\theta\)-exponential growth of minimal typeVirasoro-Zamolodchikov-\(\omega_\infty\) Lie algebra

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) White noise theory (60H40) Spaces of linear operators; topological tensor products; approximation properties (46A32) Distributions on infinite-dimensional spaces (46F25)

Related Items (5)

\(q\)-deformation of the square white noise Lie algebra ⋮ Riemann-Liouville and Caputo fractional potentials associated with the number operator ⋮ Quantum fractional Ornstein-Uhlenbeck semigroups and associated potentials ⋮ Quantum white noise stochastic analysis based on nuclear algebras of entire functions ⋮ Generalized Riemann-Liouville and Liouville-Caputo time fractional evolution equations associated to the number operator

Cites Work

• White noise calculus and Fock space
• Algebras of operators on holomorphic functions and applications
• Positive operators and integral representation
• QWN-EULER OPERATOR AND ASSOCIATED CAUCHY PROBLEM
• Powers of quantum white noise derivatives
• Higher Powers of Quantum White Noises in Terms of Integral Kernel Operators
• ANALYTIC CHARACTERIZATION OF GENERALIZED FOCK SPACE OPERATORS AS TWO-VARIABLE ENTIRE FUNCTIONS WITH GROWTH CONDITION
• STOCHASTIC HEAT EQUATION ON ALGEBRA OF GENERALIZED FUNCTIONS
• RENORMALIZED POWERS OF QUANTUM WHITE NOISE
• RENORMALIZED HIGHER POWERS OF WHITE NOISE (RHPWN) AND CONFORMAL FIELD THEORY
• Introduction to Lie Algebras and Representation Theory
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