After successful completion of the course, students are able to understand the material of the lecture, to reproduce it, to process it creatively, and to apply it to specific questions in an adaptive way.
Montag 16'15-17'45 und Donnerstag 15'00-15'45 im Sem DA 03 C22.
We consider Hilbert spaces whose elements are analytic functions and which satisfy certain additional axioms. This rich theory origins in the theory of the Fourier transfom, and has a multitude of applications to classical topics of analysis.
Aim of the lecture is to present the basics and some cornerstones of the theory. This includes in particular the intimate connection to operator theory.
Lecture
Oral exam
Not necessary
Analysis 1-3, Functional analysis 1