Introduksjon
The course gives an introduction to Functional Analysis, including applications to Harmonic Analysis.
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.
Forkunnskapskrav
Real Analysis (MAT210)
Anbefalte forkunnskaper
Real Analysis (MAT210), Complex Analysis (MAT310)
Eksamen / vurdering
Written exam
Vekt 1/1
Varighet 4 Hours
Karakter Letter grades
Hjelpemiddel Valid calculator
Written exam is with pen and paper
Method of work
6 hours of lectures and tutorials per week.
Åpent for
Admission to Single Courses at Master Level at the Faculty of Science and Technology
City and Regional Planning
Computer Science
Environmental Engineering
Industrial Economics
Robot Technology and Signal Processing - Master's Degree Programme
Structural and Mechanical Engineering
Mathematics and Physics
Mathematics and Physics
Offshore Field Development Technology - Master of Science Degree Programme
Industrial Asset Management
Marine and Offshore Technology
Offshore Technology - Master's Degree Programme
Petroleum Geosciences Engineering - Master of Science Degree Programme
Petroleum Engineering
Master's Degree Programme in Societal Safety, Specialisation in Technical Societal Safety
Risk Management - Master's Degree Programme (Master i teknologi/siviling.)
Admission requirements
Must meet the admission requirements of one of the study programmes the course is open for.
Emneevaluering
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
