Duration
30h Th, 10h Pr, 20h Mon. WS
Number of credits
| Master in mathematics, research focus (Even years, organized in 2024-2025) | 8 crédits | |||
| Master in mathematics, teaching focus (Even years, organized in 2024-2025) | 8 crédits |
Lecturer
Coordinator
Language(s) of instruction
French language
Organisation and examination
Teaching in the first semester, review in January
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit contents
This course is a continuation of the MATH0511 course on harmonic analysis. For example, the following classic topics might be covered:
- Construction of wavelets from a filter
- The windowed Fourier transform and the Balian-Low theorem
- Wavelets as unconditional bases of functional spaces
- Characterization of functional spaces via wavelet coefficients
- Study of global and pointwise regularity
- Frames
Learning outcomes of the learning unit
The objective is to use and apply wavelet theory within the framework of functional analysis.
Prerequisite knowledge and skills
A good understanding of various analysis courses, especially the harmonic analysis course MATH0511, is essential.
Planned learning activities and teaching methods
The teaching methods (in-person or remote, flipped classroom or not) will be determined at the beginning of the year in consultation with the students.
Mode of delivery (face to face, distance learning, hybrid learning)
Blended learning
Course materials and recommended or required readings
Further information:
Further information:
The information will be provided during the theoretical lecture and by email.
Exam(s) in session
Any session
- In-person
written exam AND oral exam
Written work / report
Continuous assessment
Further information:
Evaluation may take various non-exclusive forms:
- oral and/or written exam,
- coursework to be submitted during the year with an oral presentation.
Work placement(s)
Organisational remarks and main changes to the course
The course is given during the first quadrimester of even academic years.
Contacts
F. Bastin (F.Bastin@uliege.be) et S. Nicolay (S.Nicolay@uliege.be)
Analyse
Département de Mathématique,
Allée de la Découverte, 12, B37,
4000 Liège