Title of the course: Topics in Complex Function Theory, a detour around interpolation theorems
Instructor: Assoc. Prof. Uğur Gül
Institution: Hacettepe Ü.
Dates: 27 August – 2 September 2018
Prerequisites: A solid background in Graduate level Real and Complex Analysis and Functional Analysis
I. Infinite products, Blaschke condition, Blaschke products, Inner Functions.
II. Schwarz lemma, Schwarz-Pick lemma, Poincaré metric, Pick interpolation theorem.
III. Poisson-Jensen Formula, Hardy-Nevanlinna classes, Inner-outer factorization of Hardy Functions.
IV. An application of Blaschke products: Müntz-Szasz approximation theorem.
V. Carleson interpolation theorem.
References: "Bounded Analytic Functions" by J. B. Garnett, "Functional Analysis" by P. Lax
Language: TR, EN