Blaschke products and their applications Javad Mashreghi, Emmanuel Fricain, editors

Format:

Book

Contributor:

Mashreghi, Javad

Fricain, Emmanuel, 1971-

Series:

Fields Institute communications v. 65

Fields institute communications 1069-5265 v. 65

Language:

English

Subjects (All):

Blaschke products.

Physical Description:

1 online resource

Place of Publication:

New York Springer ©2013

System Details:

text file

PDF

Summary:

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

Contents:

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

Notes:

Includes bibliographical references

Print version record

Other Format:

Print version Blaschke products and their applications

ISBN:

9781461453413

1461453410

1461453402

9781461453406

OCLC:

813837902

Access Restriction:

Restricted for use by site license