Infinite dimensional oscillatory integrals as projective systems of functionals
type: Item
instance of: scholarly article
title: Infinite dimensional oscillatory integrals as projective systems of functionals
zbMATH Open document ID: 1334.28024
published in: Journal of the Mathematical Society of Japan
publication date: 2016-01-12T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.jmsj/1445951152
review text: The authors summarize the contents of this paper in the abstract of the paper as follows:The theory of infinite dimensional oscillatory integrals and some of its applications are discussed, with special attention to the relations with the original work of K. Itô in this area. A recent general approach to infinite dimensional integration which unifies the case of oscillatory integrals and the case of probabilistic type integrals is presented, together with some new developments.
reviewed by: Kun Soo Chang
Mathematics Subject Classification ID: 28C05
Mathematics Subject Classification ID: 28C20
Mathematics Subject Classification ID: 35C15
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 46M10
Mathematics Subject Classification ID: 60B11
zbMATH DE Number: 6529321
zbMATH Keywords: integration theory via linear continuous functionals
zbMATH Keywords: measure theory on infinite dimensional spaces
zbMATH Keywords: Feynman path integrals
author: S. Albeverio
author: Sonia Mazzucchi
MaRDI profile type: Publication
OpenAlex ID: W2191441027
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DOI: 10.2969/JMSJ/06741295
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