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| Detailed information |
| Original study plan |
Bachelor's programme Technical Mathematics 2023W |
| Objectives |
(*)Konkrete Handhabung grundlegender Techniken der Spektraltheorie in Hilberträumen und der Distributionentheorie. Die Verbindung zur
Fourier Analysis und Partiellen Differentialgleichungen, anhand des Laplaceoperators
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| Subject |
(*)Spektralsätze für kompakte Operatoren.
Diffusionshalbgruppen, Spektraltheorie Elliptischer Operatoren, Distributionen,
Temperierte Distributionen und Fourier Transformation.
Hermite System, Eigenfunktionen des Laplace Operators
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| Criteria for evaluation |
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| Study material |
Naoki Saito: Laplacian Eigenfunctions: Theory, Applications and Computations
http://www.math.ucdavis.edu/~saito/lapeig/
Reed-Simon, Methods of Mathematical Physics, Bd 1,
(Functional Analysis)
J. Cigler, Skriptum Distributionentheorie
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| Changing subject? |
No |
| Earlier variants |
They also cover the requirements of the curriculum (from - to)
TM1WKUESPEK: UE Spectral theory and distributions (2002S-2023S)
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