000			03378nam a22004933i 4500
001			EBC3114349
003			MiAaPQ
005			20240729124605.0
006			m o d |
007			cr cnu||||||||
008			240724s2003 xx o ||||0 eng d
020			_a9781470403782 _q(electronic bk.)
020			_z9780821833254
035			_a(MiAaPQ)EBC3114349
035			_a(Au-PeEL)EBL3114349
035			_a(CaPaEBR)ebr11041127
035			_a(OCoLC)922981966
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA331 -- .M37 2003eb
082	0		_a510 s;515/.352
100	1		_aMarmi, S.
245	1	0	_aQuasianalytic Monogenic Solutions of a Cohomological Equation.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2003.
264		4	_c©2003.
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.164
505	0		_aIntro -- Contents -- Chapter 1. Introduction -- Chapter 2. Monogenic Properties of the Solutions of the Cohomological Equation -- 2.1. C[sup(1)]-holomorphic and C#8734 -- -holomorphic functions -- 2.2. Borel's monogenic functions -- 2.3. Domains of monogenic regularity: The sequence (K[sub(j)]) -- 2.4. Monogenic regularity of the solutions -- 2.5. Whitney smoothness of monogenic functions -- Chapter 3. Carleman Classes at Diophantine Points -- 3.1. Carleman and Gevrey classes -- 3.2. Gevrey asymptotics at Diophantine points for monogenic functions -- 3.3. Borel transform at quadratic irrationals for the fundamental solution -- 3.4. Deduction of Theorem 3.4 from Theorem 3.5 -- 3.5. Proof of Theorem 3.5 -- Chapter 4. Resummation at Resonances and Constant-Type Points -- 4.1. Asymptotic expansions at resonances -- 4.2. Resurgence of the fundamental solution at resonances -- 4.3. Proof of Theorems 4.2 and 4.3 -- 4.4. A property of quasianalyticity at constant-type points -- Chapter 5. Conclusions and Applications -- 5.1. Gammel's series -- 5.2. An application to the problem of linearization of analytic diffeomorphisms of the circle -- 5.3. An application to a nonlinear small divisor problem (semi-standard map) -- Appendix -- A.l. Hadamard's product -- A.2. Some elementary properties of the fundamental solution -- A.3. Some arithmetical results. Continued fractions -- A.4. Proof of Lemma 3.3 -- A.5. Reminder about Borel-Laplace summation -- Bibliography.
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	_aMonogenic functions.
650		0	_aSmall divisors.
650		0	_aQuasianalytic functions.
650		0	_aContinued fractions.
655		4	_aElectronic books.
700	1		_aSauzin, D.
776	0	8	_iPrint version: _aMarmi, S. _tQuasianalytic Monogenic Solutions of a Cohomological Equation _dProvidence : American Mathematical Society,c2003 _z9780821833254
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114349 _zClick to View
999			_c69844 _d69844