TATA66 · 6 credits · Advanced level (A1N) · Matematik, Tillämpad matematik
Fourier and Wavelet Analysis
Active · next start VT 2027
100%
passed the latest regular sitting
UPG1 · 16 Jun 2026 · 10 students
100%
passed the regular sittings, all sittings over the last 5 years
UPG1 · 29 students
This module only reports passing results, so the pass rate does not show how many did not pass.
Part of 5 programmes
Hand-in or lab
UPG1 Written assignments
- 5
- 4
- 3
Main rounds
100% passed · 29 students
- 100%10
- 100%11
- 100%8
Later rounds
No sittings with at least 5 students.
- Get 4 or 5: 52% (29 students)
Show small sittings (1)
Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.
- 100%1
About the course
Aim
After completing the course, the student should be able to:
- apply solution methods to, and explain the solutions to, tasks within the course content.
Content
Introduction to the Lebesgue integral. Hilbert spaces: Inner products, orthogonal projection, convergence, completeness, orthonormal systems, orthonormal bases. Fourier series: Convergence theorems, Parseval’s identity. The Fourier transform: Basic properties, inversion, Plancherel’s identity, the Schwartz class. Distributions: Operations on distributions, tempered distributions, the Fourier transform, convolutions, the Poisson summation formula. Wavelets: The Haar system, MRA (multiresolutional analysis), the Shannon wavelet, Meyer's wavelets, and wavelets with compact support, e.g., Daubechies' wavelets.
- Examiner
- Mats Aigner
- Scheduled hours
- 46 h
- Main field of study
- Matematik, Tillämpad matematik