000			03327nam a22005295i 4500
001			978-3-0346-0509-0
003			DE-He213
005			20140220084518.0
007			cr nn 008mamaa
008			110129s2010 sz | s |||| 0|eng d
020			_a9783034605090 _9978-3-0346-0509-0
024	7		_a10.1007/978-3-0346-0509-0 _2doi
050		4	_aQA313
072		7	_aPBWR _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515.39 _223
082	0	4	_a515.48 _223
100	1		_aShoikhet, David. _eauthor.
245	1	0	_aLinearization Models for Complex Dynamical Systems _h[electronic resource] : _bTopics in Univalent Functions, Functional Equations and Semigroup Theory Mark Elin / _cby David Shoikhet, Mark Elin.
264		1	_aBasel : _bBirkhäuser Basel, _c2010.
300			_aXII, 268 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aOperator Theory: Advances and Applications ; _v208
505	0		_aGeometric Background -- Dynamic Approach -- Starlike Functions with Respect to a Boundary Point -- Spirallike Functions with Respect to a Boundary Point -- Kœnigs Type Starlike and Spirallike Functions -- Rigidity of Holomorphic Mappings and Commuting Semigroups -- Asymptotic Behavior of One-parameter Semigroups -- Backward Flow Invariant Domains for Semigroups -- Appendices.
520			_aThis book provides valuable insights into complex analysis, dynamical systems, geometric function theory and operator theory. Intended for a broad spectrum of readers, ranging from undergraduate and graduate mathematics students to active researchers, it offers extensive coverage of recent advances in geometric function theory, including the theory of starlike and spirallike functions with respect to a boundary point. Of particular interest is its treatment of continuous time semigroups, about which little has been previously known, emphasizing the use of generation theory for continuous dynamical systems. Such semigroups have important applications in such areas as composition operators, Markov stochastic processes, control theory and optimization. Readers will find in this book a systematic and detailed survey of linearization models for one-parameter continuous semigroups, functional equations, and the different classes of univalent functions which serve as intertwining mappings for these semigroups, along with their applications to various problems of complex dynamics.
650		0	_aMathematics.
650		0	_aFunctional equations.
650		0	_aDifferentiable dynamical systems.
650		0	_aFunctions of complex variables.
650		0	_aSystems theory.
650	1	4	_aMathematics.
650	2	4	_aDynamical Systems and Ergodic Theory.
650	2	4	_aFunctions of a Complex Variable.
650	2	4	_aSystems Theory, Control.
650	2	4	_aDifference and Functional Equations.
700	1		_aElin, Mark. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783034605083
830		0	_aOperator Theory: Advances and Applications ; _v208
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-0346-0509-0
912			_aZDB-2-SMA
999			_c111119 _d111119