Blaschke Products and Their Applications (eBook, PDF)

Redaktion: Mashreghi, Javad; Fricain, Emmanuel

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 322
• Erscheinungstermin: 5. Oktober 2012
• Englisch
• ISBN-13: 9781461453413
• Artikelnr.: 37791615

Inhaltsangabe

-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).