Open Access
October, 2015 Infinite dimensional oscillatory integrals as projective systems of functionals
J. Math. Soc. Japan 67(4): 1295-1316 (October, 2015). DOI: 10.2969/jmsj/06741295


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.


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Sergio ALBEVERIO. Sonia MAZZUCCHI. "Infinite dimensional oscillatory integrals as projective systems of functionals." J. Math. Soc. Japan 67 (4) 1295 - 1316, October, 2015.


Published: October, 2015
First available in Project Euclid: 27 October 2015

zbMATH: 1334.28024
MathSciNet: MR3417499
Digital Object Identifier: 10.2969/jmsj/06741295

Primary: 28C05 , 28C20 , 35C15 , 35Q41 , 46M10 , 60B11

Keywords: Feynman path integrals , integration theory via linear continuous functionals , measure theory on infinite dimensional spaces

Rights: Copyright © 2015 Mathematical Society of Japan

Vol.67 • No. 4 • October, 2015
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