Measures on infinite dimensional Grassmann manifolds

Doug Pickrell

doi:10.1016/0022-1236(87)90116-9

Measures on infinite dimensional Grassmann manifolds

Doug Pickrell

Research output: Contribution to journal › Article › peer-review

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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 language	English (US)
Pages (from-to)	323-356
Number of pages	34
Journal	Journal of Functional Analysis
Volume	70
Issue number	2
DOIs	https://doi.org/10.1016/0022-1236(87)90116-9
State	Published - Feb 1987
Externally published	Yes

ASJC Scopus subject areas

Analysis

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10.1016/0022-1236(87)90116-9

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title = "Measures on infinite dimensional Grassmann manifolds",

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.",

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AB - 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.

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DO - 10.1016/0022-1236(87)90116-9

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Measures on infinite dimensional Grassmann manifolds

Abstract

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