Mathematical Analysis II (MAT610)
The course gives an introduction to Functional Analysis, including applications to Harmonic Analysis.
Course description for study year 2025-2026. Please note that changes may occur.
Facts
Course code
MAT610
Version
1
Credits (ECTS)
10
Semester tution start
Spring
Number of semesters
1
Exam semester
Spring
Language of instruction
English
Time table
Content
NB! This is an elective course and may be cancelled if fewer than 10 students are enrolled by January 20th for the spring semester.
Introduction to the basic theory of Hilbert and Banach spaces, L_p-spaces, Paley-Wiener spaces and sampling of continuous functions. The emphasis is made on both theoretical understanding and use.
Learning outcome
After completing the course, the student will have knowledge of key concepts and ideas in Functional Analysis. Furthermore, the student will have knowledge of selected advanced topics such as Paley-Wiener spaces and sampling of continuous signals.
Required prerequisite knowledge
None
Recommended prerequisites
MAT210 Real Analysis, MAT310 Complex Analysis
Exam
| Form of assessment | Weight | Duration | Marks | Aid |
|---|---|---|---|---|
| Written exam | 1/1 | 4 Hours | Letter grades | Valid calculator |
Written exam is with pen and paper
Course teacher(s)
Course coordinator:
Alexander UlanovskiiCourse teacher:
Alexander UlanovskiiCourse teacher:
Alexander RashkovskiiHead of Department:
Bjørn Henrik AuestadMethod of work
6 hours of lectures and tutorials per week.
Open for
Admission requirements
Must meet the admission requirements of one of the study programmes the course is open for.
Course assessment
The faculty decides whether early dialogue will be held in all courses or in selected groups of courses. The aim is to collect student feedback for improvements during the semester. In addition, a digital course evaluation must be conducted at least every three years to gather students’ experiences.