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100   $a20010427h20012001  uy|            0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aOn the foundations of nonlinear generalized functions I and II /$fMichael Grosser [and three others]
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2001]
210  4$d©2001
215   $a1 online resource (113 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 729
300   $a"September 2001, volume 153, number 729 (end of volume)".
311   $a0-8218-2729-4 
320   $aIncludes bibliographical references (pages 92-93).
327   $a""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)](I?©) into G[sup(e)](I?©)""; ""15.1. Proof of the estimates (15.4)""; ""15.2. Proof of smoothness of P""; ""15.3. Proof of moderateness of P""
327   $a""15.4. Proof of P a??? N[sup(d)]""""15.5. Proof of P a??? N[sup(e)]""; ""Chapter 16. Classification of smooth Colombeau algebras between G[sup(d)](I?©) and G[sup(e)](I?©)""; ""16.1. The development leading from G[sup(e)](I?©) to G[sup(d)](I?©)""; ""16.2. Classification of test objects""; ""16.3. Classification of full smooth Colombeau algebras""; ""Chapter 17. The algebra G[sup(2)]; classification results""; ""Chapter 18. Concluding remarks""; ""Acknowledgments""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vno. 729.
606   $aTheory of distributions (Functional analysis)
608   $aElectronic books.
615  0$aTheory of distributions (Functional analysis)
676   $a510 s
676   $a515/.782
700   $aGrosser$b Michael$057437
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910480948303321
996   $aFoundations of nonlinear generalized functions I and II$9377890
997   $aUNINA