## Journal of the Mathematical Society of Japan

### Infinite dimensional oscillatory integrals as projective systems of functionals

#### Abstract

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.

#### Article information

Source
J. Math. Soc. Japan, Volume 67, Number 4 (2015), 1295-1316.

Dates
First available in Project Euclid: 27 October 2015

https://projecteuclid.org/euclid.jmsj/1445951152

Digital Object Identifier
doi:10.2969/jmsj/06741295

Mathematical Reviews number (MathSciNet)
MR3417499

Zentralblatt MATH identifier
1334.28024

#### Citation

ALBEVERIO, Sergio; MAZZUCCHI, Sonia. Infinite dimensional oscillatory integrals as projective systems of functionals. J. Math. Soc. Japan 67 (2015), no. 4, 1295--1316. doi:10.2969/jmsj/06741295. https://projecteuclid.org/euclid.jmsj/1445951152

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