Measures on infinite dimensional Grassmann manifolds

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81 Scopus citations


A 1-parameter family of quasi-invariant measures is presented. These measures are cylinder measures in graph coordinates. Their characteristic functions are represented as integrals relative to an infinite product measure. This is applied to the problem of determining the support properties of the measures. One of the measures can be used to define the unitary structure for the basic representation of the affine extension of the restricted unitary group.

Original languageEnglish (US)
Pages (from-to)323-356
Number of pages34
JournalJournal of Functional Analysis
Issue number2
StatePublished - Feb 1987

ASJC Scopus subject areas

  • Analysis


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