Measure Theory
Graduate texts in mathematicsPublished 1 January 1994
J. L. Doob
Citations173
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Abstract
Measure Theory vergence of senes of orthogonal functions but not on convergence of martingales.Convergence of sequences of measures is treated both in the general Vitali-Hahn-Saks setting and in the mathematical setting of Borel measures on the metric spaces of classical analysis: the compact metric spaces and the locally compact separable metric spaces.The general discussion is applied in detail to finite Lebesgue-Stieltjes measures on the line, in particular to probability measures.