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A Full Descriptive Definition of the Gage Integral

Published online by Cambridge University Press:  20 November 2018

B. Bongiorno ,
W. F. Pfeffer  and
B. S. Thomson
B. Bongiorno
Affiliation:
Department of Mathematics, Simon Fraser University Burnaby, British Columbia V5A 1S6
W. F. Pfeffer
Affiliation:
Department of Mathematics, Simon Fraser University Burnaby, British Columbia V5A 1S6
B. S. Thomson
Affiliation:
Department of Mathematics, Simon Fraser University Burnaby, British Columbia V5A 1S6
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Abstract

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We consider a specific Riemann type integral, called the gage integral. Using variational measures, we characterize all additive functions of intervals that are indefinite gage integrals. The characterization generalizes the descriptive definition of the classical Denjoy-Perron integral to all dimensions.

Keywords

26A3926B30
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 39 , Issue 4 , 01 December 1996 , pp. 395 - 401
Copyright
Copyright © Canadian Mathematical Society 1995

References

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