Oberseminar Funktionentheorie, The dark side of the unit disk V: Schauder bases of H(Ω) (Annika Moucha) (Kopie 1)

We show that the space of holomorphic functions on the set Ω={(z,w)∈ℂ̂²:zw≠1} Ω possesses a Schauder basis. Moreover, we give explicit descriptions of two particular Schauder bases where the second one is obtained from the first one by "a change of Schauder basis". The key ideas to prove this will be explained in the talk.