2015–16–A
Course topics
- Some review of complex variables
- Hilbert spaces of analytic functions. General theory
- Bergman space
- Hardy spaces
- Fractional Hardy space and self similar systems
- Bargmann-Fock space and second quantization
- Banach spaces of analytic functions.
- Frechet spaces and Schwartz spaces
- Proof of Riemann’s mapping theorem
- Dual of the space of functions analytic in a given open set
- Gelfand triples and applications