Blaschke Products and Their Applications

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Beschreibung

¿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.

Zusammenfassung

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: [...]

Inhaltsverzeichnis

¿-Preface. - Applications of Blaschke products to the spectral
theory of Toeplitz operators (Grudsky, Shargorodsky). -A
survey on Blaschke-oscillatory differential equations, with updates (Heittokangas.). - Bi-orthogonal expansions in the space L2(0,1) ( Boivin, Zhu). - Blaschke
products as solutions of a functional equation (Mashreghi.). - Cauchy
Transforms and Univalent Functions( Cima,
Pfaltzgraff). - Critical points, the Gauss curvature equation and
Blaschke products (Kraus, Roth). - Growth, zero distribution and factorization
of 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 Hardy
space of the upper half plane (Feichtinger, Pap). - Norm
of composition operators induced by finite Blaschke products on Mobius
invariant spaces (Martin, Vukotic). - On
the 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).¿

Details

Erscheinungsjahr:	2012
Fachbereich:	Analysis
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	x 322 S.
ISBN-13:	9781461453406
ISBN-10:	1461453402
Sprache:	Englisch
Einband:	Gebunden
Redaktion:	Fricain, Emmanuel Mashreghi, Javad
Herausgeber:	Javad Mashreghi/Emmanuel Fricain
Hersteller:	Springer US Springer New York Springer US, New York, N.Y.
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 23 mm
Von/Mit:	Emmanuel Fricain (u. a.)
Erscheinungsdatum:	05.10.2012
Gewicht:	0,664 kg