Measures on infinite dimensional Grassmann manifolds

Research output: Contribution to journalArticle

63 Citations (Scopus)

Abstract

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
Volume70
Issue number2
DOIs
StatePublished - 1987
Externally publishedYes

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Grassmann Manifold
Product Measure
Infinite product
Unitary group
Characteristic Function
Invariant Measure
Graph in graph theory

ASJC Scopus subject areas

  • Analysis

Cite this

Measures on infinite dimensional Grassmann manifolds. / Pickrell, Douglas M.

In: Journal of Functional Analysis, Vol. 70, No. 2, 1987, p. 323-356.

Research output: Contribution to journalArticle

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