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Record Nr. |
UNINA9910480948303321 |
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Autore |
Grosser Michael |
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Titolo |
On the foundations of nonlinear generalized functions I and II / / Michael Grosser [and three others] |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2001] |
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©2001 |
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ISBN |
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Descrizione fisica |
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1 online resource (113 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 729 |
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Disciplina |
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Soggetti |
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Theory of distributions (Functional analysis) |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"September 2001, volume 153, number 729 (end of volume)". |
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Nota di bibliografia |
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Includes bibliographical references (pages 92-93). |
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Nota di contenuto |
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""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"" |
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