A new characterization of homogeneous functions and applications

DOI10.1216/rmj.2023.53.1073OpenAlexW4386277776MaRDI QIDQ6144475

Moncef Elghribi

Publication date: 5 January 2024

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-4/A-NEW-CHARACTERIZATION-OF-HOMOGENEOUS-FUNCTIONS-AND-APPLICATIONS/10.1216/rmj.2023.53.1073.full

zbMATH Keywords

Cauchy problempotential theoryquantum calculusapplications of difference equationMarkovian transition operator

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Quantum stochastic calculus (81S25) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Transition functions, generators and resolvents (60J35)

Cites Work

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• Characterization of the \texttt{QWN}-conservation operator and applications
• Quantum \(\lambda\)-potentials associated to quantum Ornstein-Uhlenbeck semigroups
• Variational \(q\)-calculus.
• Euler's theorem for homogeneous white noise operators
• Homogeneous functions: new characterization and applications
• Quantum Ornstein-Uhlenbeck semigroups
• A (p, q)-oscillator realization of two-parameter quantum algebras
• Two-Parameter Deformation of the Oscillator Algebra and (p, q)Analog of Two-Dimensional Conformal Field Theory
• Stochastic calculus in a risk model with stochastic return on investments
• Quantum calculus

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