Part of the Sources and Studies in the History of Mathematics and Physical Sciences book series (SHMP)


Lévy‘s and Feller‘s theorems of 1935 served as a paradigm for further work on sums of independent one- or multidimensional random variables, on the one hand. This strand of development largely preserved the “traditional” analytic orientation. On the other hand, generalizations toward martingales and random elements in metric spaces triggered a growing influence of measure theory even on the “classical” limit problems of probability.


Characteristic Function Limit Theorem Independent Random Variable Random Element Invariance Principle 
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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Mathematisch-Geographische FakultätKatholische Universität Eichstätt-IngolstadtEichstättGermany

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