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Results tagged with integration
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user 46855
Questions related to various forms of integration including the Riemann integral, Lebesgue integral, Riemann–Stieltjes integral, double integrals, line integrals, contour integrals, surface integrals, integrals of differential forms, ...
4
votes
An algebra of "integrals"
[Or, more exactly, I know no theory of measure and integration with hyper-real valued functions and measure that would easily integrate all $F(\infty)$ in the same way as the standard theory works for …
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4
votes
Riesz's representation theorem for non-locally compact spaces
Historical notes of chapter 9 of Bourbaki's integration give the following as original reference for the case of completely regular spaces:
A. D. …
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1
vote
Integration on Compact Semirings
To undestand this, first note that integration with values in Banach algebras (which are rings, but not compact) contains the integration of scalar valued functions with respect to vector (Banach) valued … , integration with respect to Wiener's measure on the space of continuous functions is a ordinary integration with respect to a positive measure, but when physicists need the analogue where the gaussian …
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