Polopoly will be shut down December 15, 2023. Existing pages will have to be moved or removed before that date. Empolyees may read more at FAQ Polopoly Avveckling

MAI0100
Fourier Analysis/
Fourieranalys

Number of credits: 8 hp

Examiner: Bengt Ove Turesson

Course literature: Lecture notes (handed out during the course), literature references on the course homepage

Course contents:

• Fourier series: Revision, convergence tests, integration, Riemann's localization principle, Gibbs' phenomenon, absolutely convergent series, summability of Fourier series, divergence of Fourier series, the Poisson summation formula
• The Fourier transform: Revision, multi-dimensional theory, inversion, interpolation, the Shannon sampling theorem
• Distribution theory: Revision, the Paley-Wiener theorem, the Fourier-Laplace transform, homogeneous distributions, fundamental solutions, micro-local analysis
• Wavelets: Revision, Riesz bases, frames, function spaces

Organisation: Lectures

Examination: Assignments

Prerequisites: TATA26 Fourier analysis, TATA66 Fourier and Wavelet Analysis, TATM85 Functional Analysis or equivalent courses

Page manager: karin.johansson@liu.se
Last updated: 2022-11-15