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Advanced measure theory 884


 
Modulekode WTW 884
Kwalifikasie Postgraduate
Fakulteit Faculty of Natural and Agricultural Sciences
Module-inhoud

Consult with the Head of the Department of Mathematics and Applied Mathematics about the availability of this master's module in a particular year.
Lebesgue integral in a general measure space: Basic properties, convergence theorems, convergence in measure. Lebesgue spaces: Completeness, approximation by continuous functions. Complex measures: Absolute continuity, Random-Nikodym Theorem, representation of bounded linear functionals on Lebesgue spaces, Riesz Representation Theorem for bounded linear functionals on the space of continuous functions on a locally convergent Hausdorff space where X is a locally compact Hausdorff space.  Applications to probability.
Modulekrediete 0.00
Prerequisites Measure Theory and Functional Analysis on honours level
Contact time 1 lecture per week
Language of tuition Module is presented in English
Department Mathematics and Applied Mathematics
Period of presentation Semester 2
Die inligting wat hier verskyn, is onderhewig aan verandering en kan na die publikasie van hierdie inligting gewysig word.. Die Algemene Regulasies (G Regulasies) is op alle fakulteite van die Universiteit van Pretoria van toepassing. Dit word vereis dat elke student volkome vertroud met hierdie regulasies sowel as met die inligting vervat in die Algemene Reëls sal wees. Onkunde betrefffende hierdie regulasies en reels sal nie as ‘n verskoning by oortreding daarvan aangebied kan word nie.

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