Displaying similar documents to “On the left linear Riemann problem in Clifford analysis.”

Abstract Riemann integrability and measurability

E. de Amo, R. del Campo, M. Díaz Carrillo (2009)

Czechoslovak Mathematical Journal

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We prove that the spectral sets of any positive abstract Riemann integrable function are measurable but (at most) a countable amount of them. In addition, the integral of such a function can be computed as an improper classical Riemann integral of the measures of its spectral sets under some weak continuity conditions which in fact characterize the integral representation.