Journal of Mathematical Sciences

, Volume 159, Issue 6, pp 833–836 | Cite as

Lebesgue measure in infinite dimension as an infinite-dimensional distribution

  • R. Léandre


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 white-noise theory.


Noncommutative Geometry Bounded Continuous Function Feynman Path Cyclic Cohomology Fredholm Module 
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© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  1. 1.Institut de MathématiquesUniversité de BourgogneDijonFrance

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