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.
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.
There must be an early dialogue between the course coordinator, the student representative and the students. The purpose is feedback from the students for changes and adjustments in the course for the current semester.In addition, a digital course evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.