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- Daghighi, Abtin, 1981-
(författare)
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Approach regions of Lebesgue measurable, locally bounded, quasi-continuous functions
- 2012
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Ingår i: International Journal of Mathematical Analysis. - 1312-8876 .- 1314-7579. ; 6:13, s. 659-680
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Tidskriftsartikel (refereegranskat)abstract
- Quasi-continuity (in the sense of Kempisty) generalizes directional continuity of complex-valued functions on open subsets of ℝ n or ℂ n, and in particular provides certain approach regions at every point. We show that these can be used as a proof tool for proving several properties forLebesgue measurable, locally bounded, quasi-continuous functions e.g. that for such a function f the polynomial ring C(M,K)[f] (where K = ℝ or ℂ) satisfies that the equivalence classes under identification a.e. have cardinality one and an asymptotic maximum principle.
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