## On the foundations of nonlinear generalized functions I and II / [electronic resource] Michael Grosser ... [et al.].

Material type: TextSeries: Memoirs of the American Mathematical Society ; v. 729Publication details: Providence, R.I. : American Mathematical Society, c2001Description: 1 online resource (xi, 93 p. : ill.)ISBN: 9781470403225 (online)Subject(s): Theory of distributions (Functional analysis)Additional physical formats: On the foundations of nonlinear generalized functions I and II /DDC classification: 510 s | 515/.782 LOC classification: QA3 | .A57 no. 729 | QA324Online resources: Contents | ContentsCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK13182 |

"September 2001, volume 153, number 729 (end of volume)".

Includes bibliographical references (p. 92-93).

Part 1. On the foundations of nonlinear generalized functions I 1. Introduction 2. Notation and terminology 3. Scheme of construction 4. Calculus 5. C- and J-formalism 6. Calculus on $U_\epsilon (\Omega )$ 7. Construction of a diffeomorphism invariant Colombeau algebra 8. Sheaf properties 9. Separating the basic definition from testing 10. Characterization results 11. Differential equations Part 2. On the foundations of nonlinear generalized functions II 12. Introduction to Part 2 13. A simple condition equivalent to negligibility 14. Some more calculus 15. Non-injectivity of the canonical homomorphism from $\mathcal {G}^d(\Omega )$ into $\mathcal {G}^e(\Omega )$ 16. Classification of smooth Colombeau algebras between $\mathcal {G}^d(\Omega )$ and $\mathcal {G}^e(\Omega )$ 17. The algebra $\mathcal {G}^2$; classification results 18. Concluding remarks

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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