Includes bibliographical references.

Applications of Blaschke products to the spectral theory of Toeplitz operators / Sergei Grudsky and Eugene Shargorodsky -- Approximating the Riemann Zeta-function by strongly recurrent functions / P. M. Gauthier -- A survey on Blaschke-oscillatory differential equations, with updates / Janne Heittokangas -- Bi-orthogonal expansions in the space L²(0,[infinity]) / André Boivin and Changzhong Zhu -- Blaschke products as solutions of a functional equation / Javad Mashreghi -- Cauchy transforms and univalent functions / Joseph A. Cima and John A. Pfaltzgraff -- Critical points, the Gauss curvature equation and Blaschke products / Daniela Kraus and Oliver Roth -- Growth, zero distribution and factorization of analytic functions of moderate growth in the unit disc / Igor Chyzhykov and Severyn Skaskiv -- Hardy means of a finite Blaschke product and its derivative / Alan Gluchoff and Frederick Hartmann -- Hyperbolic derivatives determine a function uniquely / Line Baribeau -- Hyperbolic wavelets and multiresolution in the hardy space of the upper half plane / Hans G. Feichtinger and Margit Pap -- Norms of composition operators induced by finite Blaschke products on Möbius invariant spaces / María J. Martín and Dragan Vukotić -- On the computable theory of bounded analytic functions / Timothy H. McNicholl -- Polynomials versus finite Blaschke products / Tuen Wai Ng and Chiu Yin Tsang -- Recent progress on truncated Toeplitz operators / Stephan Ramon Garcia and William T. Ross.

"Blaschke products have been researched for nearly a century. They have shown 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 that examine 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 the forefront of research in the subject."--