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2010, ISBN: 9048157471

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Semigroups in Geometrical Function Theory - Livres de poche

2010, ISBN: 9048157471

[EAN: 9789048157471], Nouveau livre, [SC: 11.85], [PU: Springer Netherlands], DIMENSION; GRAD; DYNAMICALSYSTEMS, Druck auf Anfrage Neuware -Historically, complex analysis and geometrical … Plus…

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D. Shoikhet:
Semigroups in Geometrical Function Theory - Livres de poche

2010

ISBN: 9048157471

[EAN: 9789048157471], Neubuch, [SC: 0.0], [PU: Springer Netherlands], DIMENSION; GRAD; DYNAMICALSYSTEMS, Druck auf Anfrage Neuware - Historically, complex analysis and geometrical functio… Plus…

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ISBN: 9789048157471

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D. Shoikhet:
Semigroups in Geometrical Function Theory - Livres de poche

2001, ISBN: 9789048157471

Edition reliée

Springer Netherlands, 2001. Paperback. New. softcover reprint of hardcover 1st ed. 2001 edition. 233 pages. 9.25x6.25x0.54 inches., Springer Netherlands, 2001, 6

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Semigroups in Geometrical Function Theory

This manuscript provides an introduction to the generation theory of nonlinear one-parameter semigroups on a domain of the complex plane in the spirit of the Wolff-Denjoy and Hille-Yoshida theories. Special attention is given to evolution equations reproduced by holomorphic vector fields on the unit disk. A dynamic approach to the study of geometrical properties of univalent functions is emphasized. The book comprises six chapters. The preliminary chapter and chapter 1 give expositions to the theory of functions in the complex plane, and the iteration theory of holomorphic mappings according to Wolff and Denjoy, as well as to Julia and Caratheodory. Chapter 2 deals with elementary hyperbolic geometry on the unit disk, and fixed points of those mappings which are nonexpansive with respect to the Poincaré metric. Chapters 3 and 4 study local and global characteristics of holomorphic and hyperbolically monotone vector-fields, which yield a global description of asymptotic behavior of generated flows. Various boundary and interior flow invariance conditions for such vector-fields and their parametric representations are presented. Applications to univalent starlike and spirallike functions on the unit disk are given in Chapter 5. The approach described may also be useful for higher dimensions. Audience: The book will be of interest to graduate students and research specialists working in the fields of geometrical function theory, iteration theory, fixed point theory, semigroup theory, theory of composition operators and complex dynamical systems.

Informations détaillées sur le livre - Semigroups in Geometrical Function Theory


EAN (ISBN-13): 9789048157471
ISBN (ISBN-10): 9048157471
Version reliée
Livre de poche
Date de parution: 2010
Editeur: Springer-Verlag GmbH
236 Pages
Poids: 0,363 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2011-02-16T13:59:45+01:00 (Zurich)
Page de détail modifiée en dernier sur 2023-10-23T00:14:54+02:00 (Zurich)
ISBN/EAN: 9789048157471

ISBN - Autres types d'écriture:
90-481-5747-1, 978-90-481-5747-1
Autres types d'écriture et termes associés:
Titre du livre: semigroups, geometrica, geometric function theory


Données de l'éditeur

Auteur: D. Shoikhet
Titre: Semigroups in Geometrical Function Theory
Editeur: Springer; Springer Netherland
222 Pages
Date de parution: 2010-12-01
Dordrecht; NL
Imprimé / Fabriqué en
Langue: Anglais
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
POD
XII, 222 p.

BC; Hardcover, Softcover / Mathematik/Analysis; Komplexe Analysis, komplexe Variablen, Funktionentheorie; Verstehen; Dimension; Grad; dynamical systems; Functions of a Complex Variable; Difference and Functional Equations; Geometry; Convex and Discrete Geometry; Special Functions; Differentialrechnung und -gleichungen; Geometrie; Diskrete Mathematik; Funktionalanalysis und Abwandlungen; BB

Preliminaries.- 1 The Wolff—Denjoy theory on the unit disk.- 2 Hyperbolic geometry on the unit disk and fixed points.- 3 Generation theory on the unit disk.- 4 Asymptotic behavior of continuous flows.- 5 Dynamical approach to starlike and spirallike functions.- Author and Subject Index.- List of figures.

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