Infinite dimensional oscillatory integrals as projective systems of functionals

DOI10.2969/jmsj/06741295zbMath1334.28024OpenAlexW2191441027MaRDI QIDQ904193

Sergio A. Albeverio, Sonia Mazzucchi

Publication date: 12 January 2016

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

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1445951152

zbMATH Keywords

Feynman path integralsintegration theory via linear continuous functionalsmeasure theory on infinite dimensional spaces

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Projective and injective objects in functional analysis (46M10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Probability theory on linear topological spaces (60B11) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

An Itô calculus for a class of limit processes arising from random walks on the complex plane ⋮ Generalized Feynman path integrals and applications to higher-order heat-type equations

Cites Work

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