Introduction
The course gives an introduction to Functional Analysis, including applications to Harmonic Analysis.
Content
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
Real Analysis (MAT210), Complex Analysis (MAT310)
Exam
Written exam
Weight 1/1
Duration 4 Hours
Marks Letter grades
Aid Valid calculator
Written exam is with pen and paper
Method of work
6 hours of lectures and tutorials per week.
Open for
Admission to Single Courses at Master Level at the Faculty of Science and Technology
Mathematics and Physics - Master
Mathematics and Physics - Master
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.
The course description is retrieved from FS (Felles studentsystem). Version 1