On the foundations of nonlinear generalized functions I and II / / Michael Grosser [and three others]

• Autore: Grosser Michael
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2001]; ©2001
• Descrizione fisica: 1 online resource (113 p.)
• Disciplina: 510 s; 515/.782
• Soggetto topico: Theory of distributions (Functional analysis)
• Soggetto genere / forma: Electronic books.
• Note generali: "September 2001, volume 153, number 729 (end of volume)".
• Nota di bibliografia: Includes bibliographical references (pages 92-93).
• Nota di contenuto: ""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 â?? N[sup(d)]""""15.5. Proof of P â?? 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""
• Titolo autorizzato: Foundations of nonlinear generalized functions I and II
• ISBN: 1-4704-0322-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910480948303321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 729.