Coverart for item
The Resource Linearization models for complex dynamical systems : topics in univalent functions, functional equations and semigroup theory, Mark Elin, David Shoikhet

Linearization models for complex dynamical systems : topics in univalent functions, functional equations and semigroup theory, Mark Elin, David Shoikhet

Label
Linearization models for complex dynamical systems : topics in univalent functions, functional equations and semigroup theory
Title
Linearization models for complex dynamical systems
Title remainder
topics in univalent functions, functional equations and semigroup theory
Statement of responsibility
Mark Elin, David Shoikhet
Creator
Subject
Language
eng
Summary
Linearization models for discrete and continuous time dynamical systems are the driving forces for modern geometric function theory and composition operator theory on function spaces. This book focuses on a systematic survey and detailed treatment of linearization models for one-parameter semigroups, Schroder's and Abel's functional equations, and various classes of univalent functions which serve as intertwining mappings for nonlinear and linear semigroups. These topics are applicable to the study of problems in complex analysis, stochastic and evolution processes and approximation theory
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Elin, Mark
Dewey number
515.39
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA329.2
LC item number
.E437 2010
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
  • Operator theory, advances and applications
  • Linear operators & linear systems
Series volume
v. 208
http://library.link/vocab/subjectName
  • Differentiable dynamical systems
  • Linear models (Statistics)
  • Univalent functions
  • Functional equations
  • Semigroups
  • MATHEMATICS
  • Differentiable dynamical systems
  • Functional equations
  • Linear models (Statistics)
  • Semigroups
  • Univalent functions
  • Dynamisches System
  • Komplexe Funktion
  • Schlichte Funktion
  • Funktionalgleichung
  • Halbgruppe
Label
Linearization models for complex dynamical systems : topics in univalent functions, functional equations and semigroup theory, Mark Elin, David Shoikhet
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Cover -- Table of Contents -- Preface -- Chapter 1 Geometric Background -- 1.1 Some classes of univalent functions -- 1.1.1 Starlike functions -- 1.1.2 Class S8727;[0]. Nevanlinnas condition -- 1.1.3 Classes S8727;[964;], 964; 8712; 916;. Hummels representation -- 1.1.4 Spirallike functions. 25;Spa25;ceks condition -- 1.1.5 Close-to-convex and 981;-like functions -- 1.2 Boundary behavior of holomorphic functions -- 1.3 The Julia8211;Wolff8211;Carath180;eodory and Denjoy8211;Wolff Theorems -- 1.4 Functions of positive real part -- Chapter 2 Dynamic Approach -- 2.1 Semigroups and generators -- 2.2 Flow invariance conditions and parametric representations of semigroup generators -- 2.3 The Denjoy8211;Wolff and Julia8211;Wolff8211;Carath180;eodory Theorems for semigroups -- 2.4 Generators with boundary null points -- 2.5 Univalent functions and semi-complete vector fields -- Chapter 3 Starlike Functions with Respect to a Boundary Point -- 3.1 Robertsons classes. Robertsons conjecture -- 3.2 Auxiliary lemmas -- 3.3 A generalization of Robertsons conjecture -- 3.4 Angle distortion theorems -- 3.4.1 Smallest exterior wedge -- 3.4.2 Biggest interior wedge -- 3.5 Functions convex in one direction -- Chapter 4 Spirallike Functions with Respect to a Boundary Point -- 4.1 Spirallike domains with respect to a boundary point -- 4.2 A characterization of spirallike functions with respect to a boundary point -- 4.3 Subordination criteria for the class Spiral956;[1] -- 4.4 Distortion Theorems -- 4.4.1 8216;Spiral angle distortion theorems -- 4.4.2 Growth estimates for semigroup generators -- 4.4.3 Growth estimates for spirallike functions -- 4.4.4 Classes G(956;, 946;) -- 4.5 Covering theorems for starlike and spirallike functions -- Chapter 5 Koenigs Type Starlike and Spirallike Functions -- 5.1 Schr168;oders and Abels equations -- 5.2 Remarks on stochastic branching processes -- 5.3 Koenigs linearization model for dilation type semigroups. Embeddings -- 5.4 Valirons type linearization models for hyperbolic type semigroups. Embeddings -- 5.5 Pommerenkes and Baker8211;Pommerenkes linearization models for semigroups with a boundary sink point -- 5.5.1 Pommerenkes linearization model for automorphic type mappings -- 5.5.2 Baker8211;Pommerenkes model for non-automorphic type self-mappings -- 5.5.3 Higher order angular differentiability at boundary fixed points. A unified model -- 5.6 Embedding property via Abels equation -- Chapter 6 Rigidity of Holomorphic Mappings and Commuting Semigroups -- 6.1 The Burns8211;Krantz theorem -- 6.2 Rigidity of semigroup generators -- 6.3 Commuting semigroups of holomorphic mappings -- 6.3.1 Identity principles for commuting semigroups -- 6.3.2 Dilation type -- 6.3.3 Hyperbolic type -- 6.3.4 Parabolic type -- Chapter 7 Asymptotic Behavior of One-parameter Semigroups -- 7.1 Dilation case -- 7.1.1 General remarks and rates of convergence -- 7.1.2 Argument rigidity principle -- 7.2 Hyperbolic case -- 7.2.1 Criteria for the exponential convergence -- 7.2.2 Angular similarity principle -- 7.3 Parabolic case -- 7.3.1 Discrete case -- 7.3.2 Continuous case -- 7.3.3 Universal asymptotes -- Chapter 8 Backward Flow Invariant Domains for Semigroups -- 8.1 Existence -- 8.2 Maximal FIDs. Flower structures -- 8.3
Control code
701719319
Dimensions
unknown
Extent
1 online resource (xii, 264 pages)
Form of item
online
Isbn
9783034605090
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-0346-0509-0
Other physical details
figure.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-0346-0508-3
Specific material designation
remote
System control number
(OCoLC)701719319
Label
Linearization models for complex dynamical systems : topics in univalent functions, functional equations and semigroup theory, Mark Elin, David Shoikhet
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Cover -- Table of Contents -- Preface -- Chapter 1 Geometric Background -- 1.1 Some classes of univalent functions -- 1.1.1 Starlike functions -- 1.1.2 Class S8727;[0]. Nevanlinnas condition -- 1.1.3 Classes S8727;[964;], 964; 8712; 916;. Hummels representation -- 1.1.4 Spirallike functions. 25;Spa25;ceks condition -- 1.1.5 Close-to-convex and 981;-like functions -- 1.2 Boundary behavior of holomorphic functions -- 1.3 The Julia8211;Wolff8211;Carath180;eodory and Denjoy8211;Wolff Theorems -- 1.4 Functions of positive real part -- Chapter 2 Dynamic Approach -- 2.1 Semigroups and generators -- 2.2 Flow invariance conditions and parametric representations of semigroup generators -- 2.3 The Denjoy8211;Wolff and Julia8211;Wolff8211;Carath180;eodory Theorems for semigroups -- 2.4 Generators with boundary null points -- 2.5 Univalent functions and semi-complete vector fields -- Chapter 3 Starlike Functions with Respect to a Boundary Point -- 3.1 Robertsons classes. Robertsons conjecture -- 3.2 Auxiliary lemmas -- 3.3 A generalization of Robertsons conjecture -- 3.4 Angle distortion theorems -- 3.4.1 Smallest exterior wedge -- 3.4.2 Biggest interior wedge -- 3.5 Functions convex in one direction -- Chapter 4 Spirallike Functions with Respect to a Boundary Point -- 4.1 Spirallike domains with respect to a boundary point -- 4.2 A characterization of spirallike functions with respect to a boundary point -- 4.3 Subordination criteria for the class Spiral956;[1] -- 4.4 Distortion Theorems -- 4.4.1 8216;Spiral angle distortion theorems -- 4.4.2 Growth estimates for semigroup generators -- 4.4.3 Growth estimates for spirallike functions -- 4.4.4 Classes G(956;, 946;) -- 4.5 Covering theorems for starlike and spirallike functions -- Chapter 5 Koenigs Type Starlike and Spirallike Functions -- 5.1 Schr168;oders and Abels equations -- 5.2 Remarks on stochastic branching processes -- 5.3 Koenigs linearization model for dilation type semigroups. Embeddings -- 5.4 Valirons type linearization models for hyperbolic type semigroups. Embeddings -- 5.5 Pommerenkes and Baker8211;Pommerenkes linearization models for semigroups with a boundary sink point -- 5.5.1 Pommerenkes linearization model for automorphic type mappings -- 5.5.2 Baker8211;Pommerenkes model for non-automorphic type self-mappings -- 5.5.3 Higher order angular differentiability at boundary fixed points. A unified model -- 5.6 Embedding property via Abels equation -- Chapter 6 Rigidity of Holomorphic Mappings and Commuting Semigroups -- 6.1 The Burns8211;Krantz theorem -- 6.2 Rigidity of semigroup generators -- 6.3 Commuting semigroups of holomorphic mappings -- 6.3.1 Identity principles for commuting semigroups -- 6.3.2 Dilation type -- 6.3.3 Hyperbolic type -- 6.3.4 Parabolic type -- Chapter 7 Asymptotic Behavior of One-parameter Semigroups -- 7.1 Dilation case -- 7.1.1 General remarks and rates of convergence -- 7.1.2 Argument rigidity principle -- 7.2 Hyperbolic case -- 7.2.1 Criteria for the exponential convergence -- 7.2.2 Angular similarity principle -- 7.3 Parabolic case -- 7.3.1 Discrete case -- 7.3.2 Continuous case -- 7.3.3 Universal asymptotes -- Chapter 8 Backward Flow Invariant Domains for Semigroups -- 8.1 Existence -- 8.2 Maximal FIDs. Flower structures -- 8.3
Control code
701719319
Dimensions
unknown
Extent
1 online resource (xii, 264 pages)
Form of item
online
Isbn
9783034605090
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-0346-0509-0
Other physical details
figure.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-0346-0508-3
Specific material designation
remote
System control number
(OCoLC)701719319

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