240081 Harmonische Analysis I (V) (WiSe 2011/2012)
Contents, comment
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Die Vorlesung bildet den ersten Teil eines Masterkurses 1 im Themengebiet Analysis. Für das Sommersemester 2012 ist eine Vorlesung Harmonische Analysis II (2V+1Ü) als Fortsetzung des Masterkurses geplant. Anschließend wird die Möglichkeit bestehen, die Spezialierungssequenz bis zur Masterarbeit fortzusetzen.
Die Vorlesung ist geeignet für die Module 24-M-S2-AN und 24-M-V2-AN.Zum Inhalt beider Vorlesungen: Lebesgue- und Lorentz-Räume, Faltungen,
Interpolation, Distributionen, Fouriertransformation und Fourierreihen,
Oszillierende Integrale, Singuläre Integraloperatoren,
Maximalfunktionen, Sobolevräume und weitere Funktionenräume,
Littlewood-Paley Theory, Anwendungen.
Requirements for participation, required level
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Analysis I, II, Mass-und Integrationstheorie.
Desweiteren sind Grundkenntnisse in Funktionalanalysis hilfreich, diese können jedoch auch parallel erarbeitet werden.
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period |
|---|
Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 24-M-P1 Profile Module 1 Profilierung 1 | Profilierungsvorlesung (mit Übung) - Typ 2 | Study requirement
|
Student information |
| - | Graded examination | Student information | |
| 24-M-P2 Profile Module 2 Profilierung 2 | Profilierungsvorlesung (mit Übungen) - Typ 2 | Student information | |
| 24-M-PWM Profile Module Economic Mathematics Profilierung Wirtschaftsmathematik | Profilierungsvorlesung (mit Übung) -Typ 2 | Study requirement
|
Student information |
| - | Graded examination | Student information | |
| 24-M-S2-AN Spezialisation Courses in Analysis Spezialisierung 2 - Analysis | Masterkurs 1 Analysis - Variante 2 Teil 1 | Study requirement
|
Student information |
| 24-M-V2-AN Advanced Analysis Vertiefung 2 - Analysis | Masterkurs 1 Analysis - Variante 2 Teil 1 | Study requirement
|
Student information |
The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.
| Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
|---|---|---|---|---|---|---|---|
| Mathematik / Diplom | (Enrollment until SoSe 2008) | Wahlpflicht | 5. 6. 7. 8. | HS | |||
| Mathematik / Master | (Enrollment until SoSe 2011) | Wahlpflicht | 3 | benotet |
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- Notes:
- Additional notes on the electronic mailing lists
- Last update basic details/teaching staff:
- Friday, December 11, 2015
- Last update times:
- Thursday, September 26, 2013
- Last update rooms:
- Monday, September 19, 2011
- Type(s) / SWS (hours per week per semester)
- lecture (V) / 2
- Department
- Faculty of Mathematics
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