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Lecture Course: Functional Analysis II

Tue 10 – 12   in B 047,    Fri 10 – 12   in B 251


Organisation of tutorials: Leon Bollmann

Problem sheets and further information

Synposis
This is a continuation of the lecture course Functional Analysis from the previous semester. Attendance of part one is not a necessary prerequisite for this course. However, a background in the theory of Banach and Hilbert spaces will be required. Main topics to be covered are a proof of the spectral theorem for bounded self-adjoint operators, an introduction to unbounded symmetric and self-adjoint operators and the basics of the Fourier transform and distributions.

Prerequisites
Functional Analysis

Audience
Students pursuing the following degrees: MSc Mathematics, MSc Financial Mathematics, Elite Master Course Theoretical and Mathematical Physics

Literature
The course will not follow a particular textbook. The list below provides a short selection of English and German textbooks on general functional analysis and spectral theory (of which there are many!).