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
Pages :
18
From page :
93
To page :
110
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
Serial Year :
2017
Record number :
2440195
Link To Document :
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