250099 VO Harmonic analysis (2009W)
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Details
Language: German
Lecturers
Classes (iCal) - next class is marked with N
Tuesday
06.10.
11:00 - 13:00
Seminarraum
Thursday
08.10.
11:00 - 13:00
Seminarraum
Tuesday
13.10.
11:00 - 13:00
Seminarraum
Thursday
15.10.
11:00 - 13:00
Seminarraum
Tuesday
20.10.
11:00 - 13:00
Seminarraum
Thursday
22.10.
11:00 - 13:00
Seminarraum
Tuesday
27.10.
11:00 - 13:00
Seminarraum
Thursday
29.10.
11:00 - 13:00
Seminarraum
Tuesday
03.11.
11:00 - 13:00
Seminarraum
Thursday
05.11.
11:00 - 13:00
Seminarraum
Tuesday
10.11.
11:00 - 13:00
Seminarraum
Thursday
12.11.
11:00 - 13:00
Seminarraum
Tuesday
17.11.
11:00 - 13:00
Seminarraum
Thursday
19.11.
11:00 - 13:00
Seminarraum
Tuesday
24.11.
11:00 - 13:00
Seminarraum
Thursday
26.11.
11:00 - 13:00
Seminarraum
Tuesday
01.12.
11:00 - 13:00
Seminarraum
Thursday
03.12.
11:00 - 13:00
Seminarraum
Thursday
10.12.
11:00 - 13:00
Seminarraum
Tuesday
15.12.
11:00 - 13:00
Seminarraum
Thursday
17.12.
11:00 - 13:00
Seminarraum
Thursday
07.01.
11:00 - 13:00
Seminarraum
Tuesday
12.01.
11:00 - 13:00
Seminarraum
Thursday
14.01.
11:00 - 13:00
Seminarraum
Tuesday
19.01.
11:00 - 13:00
Seminarraum
Thursday
21.01.
11:00 - 13:00
Seminarraum
Tuesday
26.01.
11:00 - 13:00
Seminarraum
Thursday
28.01.
11:00 - 13:00
Seminarraum
Information
Aims, contents and method of the course
Assessment and permitted materials
Exam (oral)
Minimum requirements and assessment criteria
In this course, harmonic analysis will be understood as the theory of
Fourier series and the Fourier transform. The objective of the course
is to understand the principal concepts and results about Fourier
series and integrals. The basics of harmonic analysis form an
indispensible tools for many areas of analysis, including partial
differential equations, signal processing, analytic number theory,
etc.
Fourier series and the Fourier transform. The objective of the course
is to understand the principal concepts and results about Fourier
series and integrals. The basics of harmonic analysis form an
indispensible tools for many areas of analysis, including partial
differential equations, signal processing, analytic number theory,
etc.
Examination topics
Prerequisites: Analysis 1 - 3 and linear algebra
Reading list
Literatur: Buecher ueber harmonische Analyse oder Fourieranalyse von
I. Katznelson,
Deitmar,
Dym-McKean,
Grafakos,
Rudin,
Stein-Sakarchi,
Helson,
Vorlesungskriptum von R. Laugesen und C. Heil
I. Katznelson,
Deitmar,
Dym-McKean,
Grafakos,
Rudin,
Stein-Sakarchi,
Helson,
Vorlesungskriptum von R. Laugesen und C. Heil
Association in the course directory
MANV
Last modified: Mo 07.09.2020 15:40
Theorem of Plancherel,
Poisson summation formula and sampling theory
Hilbert transform and L^p convergence of Fourier series
Fourier transform
convolution operators
Applications in PDEs and signal processing, possibly also in number theory