PřF:M7120 Fourier Analysis I - Course Information

M7120 Fourier Analysis I

Faculty of Science
Autumn 1999

Extent and Intensity

2/0/0. 4 credit(s). Type of Completion: zk (examination).

Teacher(s)

doc. RNDr. Vítězslav Veselý, CSc. (lecturer)

Guaranteed by

Prerequisites (in Czech)

M1110 Linear algebra I && M2100 Mathematical Analysis II && M5170 Complex Analysis

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

Syllabus

Fourier series (FS): 3 equivalent forms of FS (complex, trigonometric and amplitude-phase form), Dirichlet kernel and pointwise convergence, Fejér kernel and convergence in mean, convergence in spaces $L^1$ and $L^2$, statements on cyclic convolution and correlation, Parseval identities.
Fourier transform (FT): existence and inversion (theorems by Fourier and Plancherel), properties, statements on convolution and correlation, Parseval identities, examples, multivariate continuous Fourier transform.
See http://www.math.muni.cz/~vesely/educ/fa1sylle.ps for more details.

Language of instruction

Czech

Further comments (probably available only in Czech)

The course is taught annually.
The course is taught: every week.

Listed among pre-requisites of other courses

Teacher's information

http://www.math.muni.cz/~vesely/educ_cz.html#fa1