Title of article :
Fundamental Theorem of Calculus in Topological Vector Spaces
Author/Authors :
Robdera, M. A University of Botswana , Kagiso, D. N University of Botswana
Abstract :
We extend the notions of integration and differentiation to
cover the class of functions taking values in topological vector spaces. We
give versions of the Lebesgue-Nikodym Theorem and the Fundamental
Theorem of Calculus in such a more general setting.
Keywords :
Integration , differentiation , vector valued additive set functions , Fundamental Theorem of Calculus , Lebesgue- Nikodym Theorem
Journal title :
Astroparticle Physics