[ TM1WKUESPEK ] UE Spectral theory and distributions
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| Es ist eine neuere Version 2025W dieser LV im Curriculum Master's programme Computational Mathematics 2025W vorhanden. |
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| (*) Unfortunately this information is not available in english. |
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| Workload |
Education level |
Study areas |
Responsible person |
Hours per week |
Coordinating university |
| 3 ECTS |
B3 - Bachelor's programme 3. year |
Mathematics |
Johanna Penteker |
2 hpw |
Johannes Kepler University Linz |
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| Detailed information |
| Original study plan |
Bachelor's programme Technical Mathematics 2012W |
| 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 |
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| On-site course |
| Maximum number of participants |
25 |
| Assignment procedure |
Direct assignment |
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