Integration with respect to closable set functions

DOI10.1016/0022-1236(86)90065-0zbMath0589.46034OpenAlexW1970785582MaRDI QIDQ1074064

Brian R. F. Jefferies

Publication date: 1986

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90065-0

zbMATH Keywords

Wiener measureFeynman-Kac formulaCoulomb interactionsSchrödinger semigroupintegration with respect to operator valued measuresmathematical formulation of Feynman's path integral

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Vector-valued set functions, measures and integrals (28B05) Perturbation theory of linear operators (47A55) Groups and semigroups of linear operators (47D03) Path integrals in quantum mechanics (81S40) Vector-valued measures and integration (46G10)

Related Items

A process associated with the radially symmetric Dirac equation ⋮ Perturbations of Schrödinger semigroups generated by stochastic integrals ⋮ On the additivity of unbounded set functions ⋮ The Feynman representation for the Dirac propagator with a radially symmetric potential ⋮ Integration with respect to the product of a measure and a closable set function ⋮ Processes associated with evolution equations ⋮ Remarks on the Feynman representation

Cites Work

• Approximation of semi-groups of operators
• Operator valued measures and perturbations of semi-groups
• Scale-invariant measurability in Wiener space
• The product formula for semigroups defined by Friedrichs extensions
• On the Product of Semi-Groups of Operators
• Feynman Integrals and the Schrödinger Equation
• The Trotter product formula for perturbations of semibounded operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Integration with respect to closable set functions