Title of article :
Constructing an Elementary Measure on a Space of Projections
Author/Authors :
Peter K. Friz* and James C. Robinson، نويسنده , , James C. Robinson، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2002
Pages :
12
From page :
714
To page :
725
Abstract :
Bypassing much theory from integral geometry, we construct an elementary measure on a space whose elements can represent rank k orthogonal projections in N. By replacing the Grassmannian GN k with a simple product space k j=1 SN−1 we are able to reproduce certain important features of the nontrivial measure on GN 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
Journal title :
Journal of Mathematical Analysis and Applications
Serial Year :
2002
Journal title :
Journal of Mathematical Analysis and Applications
Record number :
933532
Link To Document :
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