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Advanced measure theory 884


 
Module code WTW 884
Qualification Postgraduate
Faculty Faculty of Natural and Agricultural Sciences
Module content

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.
Module credits 30.00
Prerequisites Measure Theory and Functional Analysis on honours level
Contact time 1 lecture per week
Language of tuition English
Academic organisation Mathematics and Applied Maths
Period of presentation Semester 2
The information published here is subject to change and may be amended after the publication of this information. The General Regulations (G Regulations) apply to all faculties of the University of Pretoria. It is expected of students to familiarise themselves well with these regulations as well as with the information contained in the General Rules section. Ignorance concerning these regulations and rules will not be accepted as an excuse for any transgression.

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