In this note it is shown that extensions of measures from a finite coarse-grained (and circle coarse-grained) space to the entire power algebra can be obtained by the HornTarski extension technique in a purely combinatorial manner (without using techniques of linear spaces). Pure measures are characterized, consequences for circulant matrices are obtained.

Extending coarse-grained measures

DE SIMONE, ANNA;
2006

Abstract

In this note it is shown that extensions of measures from a finite coarse-grained (and circle coarse-grained) space to the entire power algebra can be obtained by the HornTarski extension technique in a purely combinatorial manner (without using techniques of linear spaces). Pure measures are characterized, consequences for circulant matrices are obtained.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/104031
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