Time dependent stability for Feynman's operational calculus

DOI10.1216/RMJM/1181069689zbMath1101.47011OpenAlexW1999673064MaRDI QIDQ812504

Lance Nielsen

Publication date: 24 January 2006

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

Full work available at URL: https://doi.org/10.1216/rmjm/1181069689

zbMATH Keywords

stabilityBanach algebrasfunctional calculusoperational calculusdisentangling

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Convergence of probability measures (60B10)

Related Items (8)

Two approaches to the use of unbounded operators in Feynman's operational calculus ⋮ Weak convergence and vector-valued functions: Improving the stability theory of Feynman's operational calculi ⋮ Weak convergence and Banach space-valued functions: improving the stability theory of Feynman's operational calculi ⋮ Towards a comprehensive stability theory for Feynman's operational calculus: the time-dependent setting ⋮ The Weyl correspondence as a functional calculus for non-commuting operators ⋮ Feynman's operational calculi: spectral theory for noncommuting self-adjoint operators ⋮ Stability properties for Feynman's operational calculus in the combined continuous/discrete setting ⋮ Towards a comprehensive stability theory for Feynman's operational calculus: the time independent setting

Cites Work

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• Feynman's operational calculi for noncommuting operators: definitions and elementary properties
• Feynman's operational calculus and evolution equations
• Feynman's operational calculus for families of noncommuting operators: tensor products, ordered supports, and the disentangling of an exponential factor
• Stability properties of Feynman's operational calculus for exponential functions of noncommuting operators
• Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman’s operational calculus
• L-Nonformation, L-Ancillarity, and L-Sufficiency
• Effects of absolute continuity in Feynman’s operational calculus
• FEYNMAN'S OPERATIONAL CALCULI FOR NONCOMMUTING OPERATORS: SPECTRAL THEORY
• An Operator Calculus Having Applications in Quantum Electrodynamics

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