MA8104 Wavelets and related areas


Messages:

  • Lectures start next week, uka 42.
  • Times and rooms:
    • Monday 12:15-14:00, SB2, Simastuen room 656
    • Tuesday 12:15-14:00, Realfagbygget R57 (week 43), otherwise SB2, room 822
    • Thursday 10:15-12:00, SB2, roon 822
    • Thursday 14:15-16:00, SB2, Simastuen room 656


Fall 2025



Lecturer: Franz Luef, room 940 SB2, franz [dot] luef [at] ntnu [dot] no



Papers for the presentation for the exam



Here is a brief description of the content of the course:

  1. Basic ideas of applied harmonic analysis, transition from Fourier transform to the wavelet transform and the Short-Time Fourier transform.
  2. Basics on RKHS, wavelet spaces, Gabor spaces and Paley-Wiener space
  3. Frames and Riesz bases for Hilbert spaces
  4. Phase retrieval
  5. Convolutional neural networks
  6. Basics of quantum harmonic analysis.



"The theory of wavelets lies on the intersection pf (1) mathematics (2) scientific calculation (3) signal processing (4) image processing. The aim of the theory is to give a coherent set of concepts, methods and algorithms met in each of these disciplines"
Yves Meyer (Abel prize laureate, 2017)

  • The level is suitable for good students in the third year of study.
  • It can be taken as a regular course (MA8104) or a 'fordypningsemne' (TMA4505).
  • Prerequisites: TMA4170 Fourier Analysis (recommended), Matematikk 4 (obligatory)

2025-10-15, Franz Luef