A Full Descriptive Definition of the Gage Integral

DOI10.4153/CMB-1996-047-xzbMath0885.26008MaRDI QIDQ4342791

Benedetto Bongiorno, Brian S. Thomson, Washek F. Pfeffer

Publication date: 20 April 1998

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

Denjoy-Perron integralvariational measuresgage integralWard theoremdescriptive integrals

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Denjoy and Perron integrals, other special integrals (26A39) Functions of several variables (26B99)

Related Items (11)

The Ward property for a \(\mathcal P\)-adic basis and the \(\mathcal P\)-adic integral. ⋮ Non-absolutely convergent integrals with respect to distributions ⋮ Homology of Normal Chains and Cohomology of Charges ⋮ Variational measures related to local systems and the Ward property of $$\mathcal{P}$$ -adic path bases ⋮ Multivalued Functions Integration: from Additive to Arbitrary Non-negative Set Function ⋮ Infinite variation and derivatives in \(R^m\) ⋮ Variations and variational measures in integration theory and some applications ⋮ Absolutely continuous variational measures of Mawhin’s type ⋮ Variations of additive functions ⋮ On dyadic integrals and some other integrals associated with local systems ⋮ On variational measures related to some bases

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