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On the Foundations of Nonlinear Generalized Functions I and II. (Record no. 70022)

MARC details
000 -LEADER
fixed length control field 03508nam a22004813i 4500
001 - CONTROL NUMBER
control field EBC3114527
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124611.0
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 240724s2001 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470403225
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780821827291
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3114527
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3114527
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr11041305
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)922965039
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 QA324 -- .G76 2001eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510 s;515/.782
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Grosser, Michael.
245 10 - TITLE STATEMENT
Title On the Foundations of Nonlinear Generalized Functions I and II.
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 2001.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2001.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (113 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.153
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- Contents -- Abstract -- Preface -- Part 1. On the Foundations of Nonlinear Generalized Functions I -- Chapter 1. Introduction -- Chapter 2. Notation and Terminology -- Chapter 3. Scheme of construction -- Chapter 4. Calculus -- Chapter 5. C- and J-formalism -- Chapter 6. Calculus on U[sub(ε)](Ω) -- Chapter 7. Construction of a diffeomorphism invariant Colombeau algebra -- 7.1. The basis for the definition of the algebra -- 7.2. The approach taken by J. Jelínek -- 7.3. Stability under differentiation -- 7.4. Diffeomorphism invariance -- Chapter 8. Sheaf properties -- Chapter 9. Separating the basic definition from testing -- Chapter 10. Characterization results -- Chapter 11. Differential Equations -- Part 2. On the Foundations of Nonlinear Generalized Functions II -- Chapter 12. Introduction to Part 2 -- Chapter 13. A simple condition equivalent to negligibility -- Chapter 14. Some more calculus -- Chapter 15. Non-injectivity of the canonical homomorphism from G[sup(d)](Ω) into G[sup(e)](Ω) -- 15.1. Proof of the estimates (15.4) -- 15.2. Proof of smoothness of P -- 15.3. Proof of moderateness of P -- 15.4. Proof of P ∉ N[sup(d)] -- 15.5. Proof of P ∈ N[sup(e)] -- Chapter 16. Classification of smooth Colombeau algebras between G[sup(d)](Ω) and G[sup(e)](Ω) -- 16.1. The development leading from G[sup(e)](Ω) to G[sup(d)](Ω) -- 16.2. Classification of test objects -- 16.3. Classification of full smooth Colombeau algebras -- Chapter 17. The algebra G[sup(2)] -- classification results -- Chapter 18. Concluding remarks -- Acknowledgments -- 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 Theory of distributions (Functional analysis).
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Farkas, Eva.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Kunzinger, Michael.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Steinbauer, Roland.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Grosser, Michael
Title On the Foundations of Nonlinear Generalized Functions I and II
Place, publisher, and date of publication Providence : American Mathematical Society,c2001
International Standard Book Number 9780821827291
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=3114527">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114527</a>
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