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Blaschke Products and Their Applications: Fields Institute Communications, cartea 65

Editat de Javad Mashreghi, Emmanuel Fricain
en Limba Engleză Hardback – 5 oct 2012
​Blaschke Products and Their Applications presents a collection of survey articles that examine Blaschke products and several of its applications to fields such as approximation theory, differential equations, dynamical systems, harmonic analysis, to name a few. Additionally, this volume illustrates the historical roots of Blaschke products and highlights key research on this topic. For nearly a century, Blaschke products have been researched. Their boundary behaviour, the asymptomatic growth of various integral means and their derivatives, their applications within several branches of mathematics, and their membership in different function spaces and their dynamics, are a few examples of where Blaschke products have shown to be important. The contributions written by experts from various fields of mathematical research will engage graduate students and researches alike, bringing the reader to the forefront of research in the topic. The readers will also discover the various open problems, enabling them to better pursue their own research.
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Specificații

ISBN-13: 9781461453406
ISBN-10: 1461453402
Pagini: 332
Ilustrații: X, 322 p.
Dimensiuni: 155 x 235 x 23 mm
Greutate: 0.54 kg
Ediția:2013
Editura: Springer Us
Colecția Springer
Seria Fields Institute Communications

Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

​-Preface. - Applications of Blaschke products to the spectraltheory of Toeplitz operators (Grudsky, Shargorodsky). -Asurvey on Blaschke-oscillatory differential equations, with updates (Heittokangas.). - Bi-orthogonal expansions in the space L2(0,1) ( Boivin, Zhu). - Blaschkeproducts as solutions of a functional equation (Mashreghi.). - CauchyTransforms and Univalent Functions( Cima, Pfaltzgraff). - Critical points, the Gauss curvature equation andBlaschke products (Kraus, Roth). - Growth, zero distribution and factorizationof analytic functions of moderate growth in the unit disc, (Chyzhykov, Skaskiv).- Hardy means of a finite Blaschke product and its derivative ( Gluchoff, Hartmann).-Hyperbolic derivatives determine a function uniquely (Baribeau). - Hyperbolic wavelets and multiresolution in the Hardyspace of the upper half plane (Feichtinger, Pap). - Normof composition operators induced by finite Blaschke products on Mobiusinvariant spaces (Martin, Vukotic). - Onthe computable theory of bounded analytic functions (McNicholl). - Polynomials versus finite Blaschke products (Tuen Wai Ng, Yin Tsang). -Recent progress on truncated Toeplitz operators (Garcia,Ross).​

Textul de pe ultima copertă

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.

Caracteristici

Aids graduate students as well as researchers to get a thorough understanding of Blaschke products Topics such as computability or applications in differential equations are examined for the first time Presents a collection of survey articles that examine Blaschke products and several of its applications to fields such as approximation theory, differential equations, dynamical systems, harmonic analysis, to name a few? Includes supplementary material: sn.pub/extras