000			03885nam a22005053i 4500
001			EBC3114472
003			MiAaPQ
005			20240729124609.0
006			m o d |
007			cr cnu||||||||
008			240724s2003 xx o ||||0 eng d
020			_a9781470403898 _q(electronic bk.)
020			_z9780821834329
035			_a(MiAaPQ)EBC3114472
035			_a(Au-PeEL)EBL3114472
035			_a(CaPaEBR)ebr11041250
035			_a(OCoLC)922965027
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA323 -- .G35 2004eb
082	0		_a510 s;515/.7246
100	1		_aGallardo-Gutiérrez, Eva A.
245	1	0	_aRole of the Spectrum in the Cyclic Behavior of Composition Operators.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2003.
264		4	_c©2004.
300			_a1 online resource (98 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.167
505	0		_aIntro -- Contents -- Preface -- Chapter 1. Introduction and Preliminaries -- Weighted Hardy spaces -- The Dirichlet space -- The Hardy space -- Functional Hilbert spaces -- Composition operators -- Weighted Dirichlet spaces -- Equivalent norms on weighted Dirichlet spaces -- Linear fractional maps -- Iterates -- The Comparison Principle -- Main results -- Table I -- Table II -- Acknowledgment -- Chapter 2. Linear Fractional Maps with an Interior Fixed Point -- Non-elliptic linear fractional maps with an exterior fixed point -- Elliptic automorphism -- Interior and boundary fixed point -- Hypercyclicity -- The hyperbolic automorphism -- The Hypercyclic Criterion -- A Beurling type theorem -- The Inner Product Criterion -- Invariant subspaces of finite codimension -- Chapter 3. Non Elliptic Automorphisms -- Hypercyclicity -- The parabolic automorphism -- The hyperbolic automorphism -- The failure of the spectrum -- The eigenfunctions of C[sub([omitted])] [sub([omitted])] with a parabolic automorphism -- Cyclicity -- The Dirichlet space of the upper half plane -- The Hardy space of the upper half plane -- A Paley-Wiener Theorem for D[sub(π)] -- The parabolic automorphism -- The hyperbolic automorphism -- Chapter 4. The Parabolic Non Automorphism -- Cyclicity -- Zeros of weighted Dirichlet functions -- Non hypercyclicity -- An appetizer -- The spectrum of C[sub([omitted])] -- The eigenfunctions form a spanning set -- Renorming S[sub(v)] -- Isometric functional Hilbert spaces -- A complete orthogonal system of L[sup(2)] (R[sup(+)],dt/t) -- The extension of the isometries -- The Laguerre polynomials -- Chapter 5. Supercyclic Linear Fractional Composition Operators -- The easy part -- The parabolic non-automorphism -- The Angle Criterion -- The adjoint of C[sub([omitted])] -- A three term recurrence formula -- An integration formula -- Endnotes.
505	8		_aBibliography.
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	_aFunction spaces.
650		0	_aLinear operators.
650		0	_aFunctions of complex variables.
650		0	_aHypergeometric functions.
655		4	_aElectronic books.
700	1		_aMontes-Rodríguez, Alfonso.
776	0	8	_iPrint version: _aGallardo-Gutiérrez, Eva A. _tRole of the Spectrum in the Cyclic Behavior of Composition Operators _dProvidence : American Mathematical Society,c2003 _z9780821834329
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114472 _zClick to View
999			_c69967 _d69967