Cargando…
On the foundations of nonlinear generalized functions I and II /
Part 1. On the Foundations of Nonlinear Generalized Functions I: Introduction Notation and terminology Scheme of construction Calculus C- and J-formalism Calculus on $U_\varepsilon(\Omega)$ Construction of a diffeomorphism invariant Colombeau algebra Sheaf properties Separating the basic definition...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
©2001.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 729. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn851086229 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr un||||||||| | ||
| 008 | 130627s2001 riua ob 000 0 eng d | ||
| 010 | |z 2001032795 | ||
| 040 | |a GZM |b eng |e pn |c GZM |d OCLCO |d COO |d UIU |d OCLCF |d LLB |d E7B |d OCLCQ |d EBLCP |d YDXCP |d OCLCQ |d AU@ |d UKAHL |d OCLCQ |d LEAUB |d OCLCQ |d UAB |d VT2 |d OCLCO |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO |d INARC |d OCLCL | ||
| 019 | |a 908039890 |a 922965039 |a 1086451483 |a 1256359876 |a 1412755480 | ||
| 020 | |a 9781470403225 | ||
| 020 | |a 1470403226 | ||
| 020 | |z 9780821827291 | ||
| 020 | |z 0821827294 | ||
| 029 | 1 | |a AU@ |b 000069467505 | |
| 035 | |a (OCoLC)851086229 |z (OCoLC)908039890 |z (OCoLC)922965039 |z (OCoLC)1086451483 |z (OCoLC)1256359876 |z (OCoLC)1412755480 | ||
| 050 | 4 | |a QA3 |b .A57 no. 729 |a QA324 | |
| 082 | 0 | 4 | |a 510 s 515/.782 |2 21 |
| 049 | |a UAMI | ||
| 245 | 0 | 0 | |a On the foundations of nonlinear generalized functions I and II / |c Michael Grosser [and others]. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c ©2001. | ||
| 300 | |a 1 online resource (xi, 93 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 729 | |
| 500 | |a "September 2001, volume 153, number 729 (end of volume)." | ||
| 504 | |a Includes bibliographical references (pages 92-93). | ||
| 588 | 0 | |a Print version record. | |
| 520 | 8 | |a Part 1. On the Foundations of Nonlinear Generalized Functions I: Introduction Notation and terminology Scheme of construction Calculus C- and J-formalism Calculus on $U_\varepsilon(\Omega)$ Construction of a diffeomorphism invariant Colombeau algebra Sheaf properties Separating the basic definition from testing Characterization results Differential equations Part 2. On the Foundations of Nonlinear Generalized Functions II: Introduction to Part 2 A simple condition equivalent to negligibility Some more calculus Non-injectivity of the canonical homomorphism from ${\mathcal G}^d(\Omega)$ into ${\mathcal G}^e(\Omega)$ Classification of smooth Colombeau algebras between ${\mathcal G}^d(\Omega)$ and ${\mathcal G}^e(\Omega)$ The algebra ${\mathcal G}^2$; classification results Concluding remarks Acknowledgments Bibliography. | |
| 505 | 0 | 0 | |t Part 1. On the foundations of nonlinear generalized functions I |t 1. Introduction |t 2. Notation and terminology |t 3. Scheme of construction |t 4. Calculus |t 5. C- and J-formalism |t 6. Calculus on $U_\epsilon (\Omega)$ |t 7. Construction of a diffeomorphism invariant Colombeau algebra |t 8. Sheaf properties |t 9. Separating the basic definition from testing |t 10. Characterization results |t 11. Differential equations |t Part 2. On the foundations of nonlinear generalized functions II |t 12. Introduction to Part 2 |t 13. A simple condition equivalent to negligibility |t 14. Some more calculus |t 15. Non-injectivity of the canonical homomorphism from $\mathcal {G}^d(\Omega)$ into $\mathcal {G}^e(\Omega)$ |t 16. Classification of smooth Colombeau algebras between $\mathcal {G}^d(\Omega)$ and $\mathcal {G}^e(\Omega)$ |t 17. The algebra $\mathcal {G}^2$; classification results |t 18. Concluding remarks. |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Theory of distributions (Functional analysis) | |
| 650 | 6 | |a Théorie des distributions (Analyse fonctionnelle) | |
| 650 | 7 | |a Theory of distributions (Functional analysis) |2 fast | |
| 700 | 1 | |a Grosser, Michael. | |
| 758 | |i has work: |a On the foundations of nonlinear generalized functions I and II (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGgDxYPDfPBTgrxCXQv8md |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |t On the foundations of nonlinear generalized functions I and II / |x 0065-9266 |z 9780821827291 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 729. |x 0065-9266 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114527 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH35093077 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL3114527 | ||
| 938 | |a ebrary |b EBRY |n ebr11041305 | ||
| 938 | |a YBP Library Services |b YANK |n 12375443 | ||
| 938 | |a Internet Archive |b INAR |n isbn_9780821827291_153 | ||
| 994 | |a 92 |b IZTAP | ||