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Characters for summary functions associated with cartesian products

Published online by Cambridge University Press:  17 April 2009

Peter D. Finch
Affiliation:
Department of Mathematics, Monash University, Clayton, Victoria.
Elizabeth Heathcote
Affiliation:
Department of Mathematics, Monash University, Clayton, Victoria.
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Abstract

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In deriving macroscopic descriptions of microscopic phenomena one often uses a vector valued summary function which is defined on a cartesian product in terms of component summary functions. We show that any character of such a summary function is the product of characters of its component summary functions.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Finch, Peter D., “Macroscopic descriptions of microscopic phenomena”, Bull. Austral. Math. Soc. 9 (1973), 391410.CrossRefGoogle Scholar