000			02895nam a22004573i 4500
001			EBC3113740
003			MiAaPQ
005			20240729124549.0
006			m o d |
007			cr cnu||||||||
008			240724s1997 xx o ||||0 eng d
020			_a9781470401818 _q(electronic bk.)
020			_z9780821806302
035			_a(MiAaPQ)EBC3113740
035			_a(Au-PeEL)EBL3113740
035			_a(CaPaEBR)ebr10918671
035			_a(OCoLC)851088766
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA329.2 -- .B687 1997eb
082	0		_a515/.7246
100	1		_aBourdon, Paul S.
245	1	0	_aCyclic Phenomena for Composition Operators.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1997.
264		4	_c©1997.
300			_a1 online resource (122 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.125
505	0		_aIntro -- Contents -- Introduction -- Cyclicity -- Cyclicity and Iteration -- Linear-Fractional" Classification of Arbitrary Maps -- Transference -- The Intertwining Map σ -- 1 Preliminaries -- The Space H[sup(2)] -- Angular Derivatives -- Cyclicity and Univalence -- Hypercyclicity Basics -- 2 Linear-Fractional Composition Operators -- Linear-Fractional Basics -- Cyclicity: First Observations -- The Main Theorem -- Remarks on "Extreme Behavior -- 3 Linear-Fractional Models -- First Applications of Transference -- Cyclicity and Fixed-Point Position -- 4 The Hyperbolic and Parabolic Models -- Expansions About the Denjoy-Wolff Point -- Consequences for Parabolic Type -- The Hyperbolic Case -- The Parabolic Case -- Consequences of The Parabolic Models Theorem -- Motivation for the Proof -- Estimates on Orbit Magnitudes -- Proof of the Parabolic Models Theorem -- 5 Cyclicity: Parabolic Nonautomorphism Case -- Applying the Parabolic Model -- A Cyclic Vector for C[sub(α)] -- 6 Endnotes -- Orbit Separation and Parabolic Subtype -- Less Differentiability -- Further Directions -- Acknowledgment -- References.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aComposition operators.
655		4	_aElectronic books.
700	1		_aShapiro, Joel H.
776	0	8	_iPrint version: _aBourdon, Paul S. _tCyclic Phenomena for Composition Operators _dProvidence : American Mathematical Society,c1997 _z9780821806302
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113740 _zClick to View
999			_c69271 _d69271