Notes on Integration
- 1 October 1948
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 34 (10) , 483-490
- https://doi.org/10.1073/pnas.34.10.483
Abstract
Summary:Absolute continuity for functionals is studied in the context of proper and abstract Riemann integration examining the relation to absolute continuity for finitely additive measures and giving results in both directions: integrals coming from measures and measures induced by integrals. To this end, we look for relations between the corresponding integrable functions of absolutely continuous integrals and we deal with the possibility of preserving absolute continuity when extending the elemental integralsKeywords
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- Notes on IntegrationProceedings of the National Academy of Sciences, 1948