UNSPECIFIED. (2002) Constructing an elementary measure on a space of projections. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 267 (2). pp. 714-725. ISSN 0022-247X

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Abstract

Bypassing much theory from integral geometry, we construct an elementary measure on a space whose elements can represent rank k orthogonal projections in R-N. By replacing the Grassmannian G(N,k) with a simple product space circle times(j=1)(k) SN-1 we are able to reproduce certain important features of the nontrivial measure on G(N,k) invariant under the action of the orthogonal group (a property also enjoyed by our construction). As a motivating example we show that our construction enables the proof of a recent embedding theorem due to Foias and Olson to be completed using only standard methods of analysis. (C) 2002 Elsevier Science (USA).

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
ISSN:	0022-247X
Date:	15 March 2002
Volume:	267
Number:	2
Number of Pages:	12
Page Range:	pp. 714-725
Identification Number:	10.1006/jmaa.2001.7809
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/11152

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