X, 319 p. 5 illus., 2 illus. in color., online resource.
(Fields Institute Communications,1069-5265
; 65)
Electronic
Blaschke products have been researched for nearly a century. They haveshown to be important in several branches of mathematics through their boundary behaviour, dynamics, membership in different function spaces, and the asymptotic growth of various integral means of their derivatives. This volume presents a collection of survey and research articles thatexamine Blaschke products and several of their applications to fields such as approximation theory, differential equations, dynamical systems, and harmonic analysis. Additionally, it illustrates the historical roots of Blaschke products and highlights key research on this topic. The contributions, written by experts from various fields of mathematical research, include several open problems. They will engage graduate students and researchers alike, bringing them to theforefront of research in the subject.