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Integrals with Respect to Counting Measures

  • Rinaldo B. Schinazi
Chapter
  • 903 Downloads

Abstract

Consider the set of natural numbers \(\mathbb {N}\) equipped with the σ −algebra \(\mathcal {P}(\mathbb {N})\) (i.e., all the subsets of \(\mathbb {N}\)). With this σ −algebra every subset of \(\mathbb {N}\) is measurable and every function \(a:\mathbb {N}\longrightarrow \mathbb {R}\) is measurable as well.

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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Rinaldo B. Schinazi
    • 1
  1. 1.Department of MathematicsUniversity of ColoradoColorado SpringsUSA

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