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Quasianalytic Monogenic Solutions of a Cohomological Equation. (Record no. 69844)

MARC details
000 -LEADER
fixed length control field 03378nam a22004933i 4500
001 - CONTROL NUMBER
control field EBC3114349
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124605.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s2003 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470403782
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780821833254
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3114349
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3114349
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr11041127
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)922981966
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA331 -- .M37 2003eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510 s;515/.352
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Marmi, S.
245 10 - TITLE STATEMENT
Title Quasianalytic Monogenic Solutions of a Cohomological Equation.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice 2003.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2003.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (98 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Memoirs of the American Mathematical Society ;
Volume/sequential designation v.164
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- 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 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic 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 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Monogenic functions.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Small divisors.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Quasianalytic functions.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Continued fractions.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Sauzin, D.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Marmi, S.
Title Quasianalytic Monogenic Solutions of a Cohomological Equation
Place, publisher, and date of publication Providence : American Mathematical Society,c2003
International Standard Book Number 9780821833254
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Memoirs of the American Mathematical Society
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114349">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114349</a>
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