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Funktionalanalysis II

Professor Prof. M. Einsiedler
Lecture Monday  10-12,  HG G 3

Thursday  13-15,  HG G 5

Koordinator Shirali Kadyrov
Exercise classes Monday 09-10, HG F 26.1
            09-10, HG F 26.5
            09-10, HG G 26.3

Information on Exercise classes.

Lecture notes from the previous year


Lecture Notes of the class:

Week 1&2

Week 3

Week 4

Week 5

Week 6

Week 7-1

Week 7-2

Week 8

Week 9 (corrected)

Week 10

Bachner's theorem

Week 11

Week 12

Last week

First lecture:
Monday, 22/02/2010.
First exercise classes:
Monday, 22/02/2010.

The requirement for taking the final oral exam: Solutions (or near solutions) to 60% of all exercises.

Consultation hours (Präsenz): cf. homepage of Assistenzgruppe 1.

Course Description

Spectral theory of bounded and unbounded self-adjoint operators. Fourier transform. Distribution theory. Sobolev spaces and elliptic operators. Unitary representations.

The objective is to gain familiarity with the spectral theory of operators in Hilbert spaces, with theory of Fourier integrals, and to learn some of the most important applications of this theory.

References

Folland, Real Analysis
Lax, Functional Analysis

 

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© 2012 Mathematics Department | Imprint | Disclaimer | 7 June 2010
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