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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
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Last updated: 2022-11-15