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Instructors: Dr. Giovanni Eugenio Comi
Event type:
Seminar
Displayed in timetable as:
M-Sem
Hours per week:
2
Language of instruction:
English
Min. | Max. participants:
5 | 13
Comments/contents:
The seminar will be held as a "reading course" of lectures: this means that the weekly lectures will be presented by course participants.
The topic of the seminar is harmonic analysis, with a focus on new developments and links with other branches of mathematical analysis.
The course is suitable for bachelor (about finishing BSc) and master students with a background in functional analysis, measure theory and harmonic analysis. Some basic knowledge of complex analysis is also helpful, though not mandatory. Interested PhD students might find it inspiring for their own research.
Didactic concept:
The participants are supposed to give a presentations on selected topics which shall be assigned.
Literature:
The main literature references are the following:
- Javier Duoandikoetxea, Fourier Analysis, Graduate Studies in Mathematics, 29, American Mathematical Society, 2001.
- Loukas Grafakos, Classical Fourier Analysis, Third Edition, Springer, 2014.
- Loukas Grafakos, Modern Fourier Analysis, Third Edition, Springer, 2014.
- Elias M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970.
- Elias M. Stein, Timothy S. Murphy, Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals. Vol. 3. Princeton University Press, 1993.
- Elias M. Stein, Guido Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, 1971.
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