Constructing an elementary measure on a space of projections
UNSPECIFIED. (2002) Constructing an elementary measure on a space of projections. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 267 (2). pp. 714-725. ISSN 0022-247XFull text not available from this repository.
Official URL: http://dx.doi.org/10.1006/jmaa.2001.7809
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|
|Date:||15 March 2002|
|Number of Pages:||12|
|Page Range:||pp. 714-725|
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