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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 |
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| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
©2001.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 729. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Notas: | "September 2001, volume 153, number 729 (end of volume)." |
| Descripción Física: | 1 online resource (xi, 93 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 92-93). |
| ISBN: | 9781470403225 1470403226 |
| ISSN: | 1947-6221 ; 0065-9266 |