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.

See course description and exam/assesment information for this semester (2024-2025)
Facts

Course code

MAT610

Version

1

Credits (ECTS)

10

Semester tution start

Spring

Number of semesters

1

Exam semester

Spring

Language of instruction

English

Offered by
Time table

View course schedule

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

Course teacher(s)

Course teacher:

Alexander Ulanovskii

Course teacher:

Alexander Rashkovskii

Head of Department:

Bjørn Henrik Auestad

Method of work

6 hours of lectures and tutorials per week.

Open for

Mathematics and Physics - Master of Science Degree Programme Mathematics and Physics - Five Year Integrated Master's Degree Programme

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.

Literature

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