Weak convergence and Banach space-valued functions: improving the stability theory of Feynman's operational calculi

DOI10.1007/s11040-011-9097-zzbMath1246.60011OpenAlexW4246829374MaRDI QIDQ430056

Lance Nielsen

Publication date: 20 June 2012

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-011-9097-z

zbMATH Keywords

stability theorydisentanglingFeynman's operational calculusweak convergence of probability measures

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) General quantum mechanics and problems of quantization (81S99) Convergence of probability measures (60B10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items

Additive subordination and its applications in finance, Two approaches to the use of unbounded operators in Feynman's operational calculus, Understanding the topology and the geometry of the space of persistence diagrams via optimal partial transport, Towards a comprehensive stability theory for Feynman's operational calculus: the time-dependent setting, Towards a comprehensive stability theory for Feynman's operational calculus: the time independent setting

Cites Work

• Time dependent stability for Feynman's operational calculus
• Feynman's operational calculi for noncommuting operators: definitions and elementary properties
• Feynman's operational calculi for noncommuting operators: The monogenic calculus
• 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
• Weak convergence and vector-valued functions: Improving the stability theory of Feynman's operational calculi
• Stability properties for Feynman's operational calculus in the combined continuous/discrete setting
• FEYNMAN'S OPERATIONAL CALCULI FOR NONCOMMUTING OPERATORS: SPECTRAL THEORY
• An Operator Calculus Having Applications in Quantum Electrodynamics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item