On the space of infinite dimensional integrable functions

DOI10.1016/j.jmaa.2020.124043zbMath1451.46041OpenAlexW3010970698MaRDI QIDQ2310491

Juan Carlos Sampedro

Publication date: 6 April 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124043

zbMATH Keywords

Wiener measure\(L_p\) spacesFeynman path integralinfinite dimensional integrationJessen theoreminfinite product spaces

Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items

Approximation schemes for path integration on Riemannian manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some unit square integrals
• Finite dimensional approximations to Wiener measure and path integral formulas on manifolds
• Constructive analysis in infinitely many variables
• An introduction to infinite-dimensional analysis
• Functional Analysis and the Feynman Operator Calculus
• A Proof of the Existence of Infinite Product Probability Measures
• Quantum Theory for Mathematicians
• Wiener and integration in function spaces
• INTEGRATION IN INFINITE DIMENSIONAL SPACES AND THE WIENER INTEGRAL
• Topological Vector Spaces and Their Applications
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• THE WIENER INTEGRAL
• On Distributions of Certain Wiener Functionals
• Notes on infinite product measure spaces, I

This page was built for publication: On the space of infinite dimensional integrable functions