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AN APPETIZER: A SAMPLER OF MAIN COURSES

    https://doi.org/10.1142/9789812837271_0003Cited by:0 (Source: Crossref)
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    Abstract:

    This paper discusses two basic issues of functional integration: domains of integration and volume elements adapted to a given domain of integration. Two examples of domain of integration are given explicitly in Sections 2 and 3 respectively: the domain of integration is a space of contractible paths and the domain of integration is a space of Poisson paths. A property of volume element, presented in Section 3, namely the Koszul formula, valid on totally different geometries (riemannian, symplectic, grassman) can be used for some infinite dimensional geometries.