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Abstract absolute Riemannian integration

Hans Günzler — 1980

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Si introducono integrali propri e impropri per funzioni : X S = semigruppo commutativo con metrica generalizzata rispetto a una biaddiva Φ : S × Ω S di variazione finita; Ω è un semianello di insiemi X . Per il caso proprio si usa una riformulazione della definizione di Riemann, per l’improprio si applica convergenza locale in misura assieme a convergenza in media.

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