After successful completion of the course, students are able to identify kernel reproducing Hilbert spaces, to deal with the most important results in this area and to work with examples of reproducing Hilbert spaces.
Definition and construction of kernel reproducing Hilbert spaces of complex valued functions, elementary properties, extension to reproducing Hilbert spaces of Hilbert spaces valued functions or consisting of holomorphic functions.
Blackboard Lecture
Oral Exam
Not necessary
Content of the lectures Analysis 1,2 and Functional Analysis
