Effects of absolute continuity in Feynman’s operational calculus

DOI10.1090/S0002-9939-02-06592-9zbMath1049.47016OpenAlexW1581240764MaRDI QIDQ4780417

Lance Nielsen

Publication date: 19 November 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06592-9

zbMATH Keywords

functional calculusoperational calculusdisentangling

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operators on function spaces (general) (47B38) Functional calculus in topological algebras (46H30)

Related Items (8)

Feynman's operational calculus with arbitrary measures: an evolution equation in the general case and examples ⋮ Feynman's operational calculi: Methods for iterative disentangling ⋮ Measure permutation formulas in Feynman's operational calculi ⋮ Unnamed Item ⋮ Feynman's operational calculi: spectral theory for noncommuting self-adjoint operators ⋮ Stability properties for Feynman's operational calculus in the combined continuous/discrete setting ⋮ Generalized measure permutation formulas in Feynman's operational calculi ⋮ Time dependent stability for Feynman's operational calculus

Cites Work

• Feynman's operational calculi for noncommuting operators: definitions and elementary properties
• Feynman's operational calculus and evolution equations
• 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
• An Operator Calculus Having Applications in Quantum Electrodynamics
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