240032 Proseminar Fourierreihen (PS) (SoSe 2017)

Contents, comment

Definition und elementare Eigenschaften der Fourierreihe, Faltungen und approximative Einheiten, Summierbarkeitsbegriffe, Poissonkern, Dirichletsches Problem, Wärmeleitungsgleichung, Konvergenz im quadratischen Mittel, punktweise und gleichmäßige Konvergenz, Riemannscher Lokalisierungssatz, Gibbsches Phänomen, Eulersche Summenformel, isoperimetrische Ungleichung, Weylscher Gleichverteilungssatz, lakunäre Fourierreihen, Fouriertransformation auf der reellen Achse, Poissonsche Summenformel, Anwendungen auf Differentialgleichungen

Die Referenzen zu den Vortragsthemen sind überwiegend in englischer Sprache verfasst.

Requirements for participation, required level

Analysis I, Lineare Algebra I

Bibliography

Dym, McKean: Fourier Series and Integrals. Academic Press, 1972.

Kaballo: Einführung in die Analysis I. Spektrum Akademischer Verlag, 1996.

Stein, Shakarchi: Fourier Analysis. An Introduction. Princeton Lectures in Analysis I. Princeton University Press, 2003.

Teaching staff

Dates ( Calendar view )

Frequency Weekday Time Format / Place Period  
one-time Do 16:00-17:00 T2-149 09.02.2017 Vorbesprechung mit Themenvergabe
weekly Mi 16:00-17:30 U2-135 18.04.-28.07.2017 nicht am 03.05.2017 (dafuer Ersatztermin)
one-time Mi 17:30-19:00 U2-135 26.04.2017 Ersatztermin

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Subject assignments

Module Course Requirements  
24-B-GEO_ver1 Geometrie (Gym/Ge) Proseminar Study requirement
Ungraded examination
Student information
24-B-PX Praxismodul Proseminar Study requirement
Ungraded examination
Student information
24-E Ergänzungsmodul Mathematik Proseminar Study requirement
Ungraded examination
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 (Gym/Ge als zweites U-Fach) / Master of Education (Enrollment until SoSe 2014) M.M.05 Wahlpflicht 3. 3 unbenotet  
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E-Learning Space
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Limitation of the number of participants:
Limited number of participants: 15
Address:
SS2017_240032@ekvv.uni-bielefeld.de
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Last update basic details/teaching staff:
Thursday, February 9, 2017 
Last update times:
Tuesday, April 18, 2017 
Last update rooms:
Tuesday, April 18, 2017 
Type(s) / SWS (hours per week per semester)
proseminar (PS) / 2
Department
Faculty of Mathematics
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