FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 8, PAGES 127-132

**Lebesgue measure in infinite dimension as an infinite-dimensional
distribution**

R. Léandre

Abstract

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Physicists deal with the formal Lebesgue measure on the space of
smooth maps from one manifold to another.
The aim of the present paper is to give two definitions of this
measure as a distribution: using functional spaces of
noncommutative geometry and those of the white noise theory.

Location: http://mech.math.msu.su/~fpm/eng/k07/k078/k07809h.htm

Last modified: June 13, 2008