An axiomatic theory of non-absolutely convergent integrals in Rn

• Autorzy: W. B. Jurkat , D. J. F. Nonnenmacher
• Języki publikacji: EN

Abstrakty

EN

We introduce an axiomatic approach to the theory of non-absolutely convergent integrals. The definition of our ν-integral will be descriptive and depends mainly on characteristic null conditions. By specializing our concepts we will later obtain concrete theories of integration with natural properties and very general versions of the divergence theorem.

Kategorie tematyczne

• 26B20: Integral formulas (Stokes, Gauss, Green, etc.)
• 26B30: Absolutely continuous functions, functions of bounded variation
• 26A39: Denjoy and Perron integrals, other special integrals
• 28A15: Abstract differentiation theory, differentiation of set functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1994
• Tom: 145
• Numer: 3
• Strony: 221-242

Daty

wydano

1994

otrzymano

1992-09-13

Twórcy

autor

W. B. Jurkat

• Abteilung für Mathematik II und V, Universität Ulm, D-89069 Ulm, Germany

autor

D. J. F. Nonnenmacher

• Abteilung für Mathematik II und V, Universität Ulm, D-89069 Ulm, Germany

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