Compact composition operators on spaces of Dirichlet series
By Karl-Mikael Perfekt
Some results on composition operators in the unit disc
By Luis Rodriguez-Piazza
Appears in collection : Jorge Mozo Fernández: Complex Analysis
It is a classical course on some topics in Complex Analysis, as spaces of holomorphic functions, infinite products, prime number theorem, entire functions and elliptic functions. Even if I will make a reminder on the basic of complex analysis (holomorphic and meromorphic functions, Cauchy theory, residues, …) it would be more profitable for someone having already studied such a basic course, which would correspond essentially to a first semester about this subject.