| 000 | 03508nam a22004813i 4500 | ||
|---|---|---|---|
| 001 | EBC3114527 | ||
| 003 | MiAaPQ | ||
| 005 | 20240729124611.0 | ||
| 006 | m o d | | ||
| 007 | cr cnu|||||||| | ||
| 008 | 240724s2001 xx o ||||0 eng d | ||
| 020 |
_a9781470403225 _q(electronic bk.) |
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| 020 | _z9780821827291 | ||
| 035 | _a(MiAaPQ)EBC3114527 | ||
| 035 | _a(Au-PeEL)EBL3114527 | ||
| 035 | _a(CaPaEBR)ebr11041305 | ||
| 035 | _a(OCoLC)922965039 | ||
| 040 |
_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ |
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| 050 | 4 | _aQA324 -- .G76 2001eb | |
| 082 | 0 | _a510 s;515/.782 | |
| 100 | 1 | _aGrosser, Michael. | |
| 245 | 1 | 0 | _aOn the Foundations of Nonlinear Generalized Functions I and II. |
| 250 | _a1st ed. | ||
| 264 | 1 |
_aProvidence : _bAmerican Mathematical Society, _c2001. |
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| 264 | 4 | _c©2001. | |
| 300 | _a1 online resource (113 pages) | ||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aMemoirs of the American Mathematical Society ; _vv.153 |
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| 505 | 0 | _aIntro -- Contents -- Abstract -- Preface -- Part 1. On the Foundations of Nonlinear Generalized Functions I -- Chapter 1. Introduction -- Chapter 2. Notation and Terminology -- Chapter 3. Scheme of construction -- Chapter 4. Calculus -- Chapter 5. C- and J-formalism -- Chapter 6. Calculus on U[sub(ε)](Ω) -- Chapter 7. Construction of a diffeomorphism invariant Colombeau algebra -- 7.1. The basis for the definition of the algebra -- 7.2. The approach taken by J. Jelínek -- 7.3. Stability under differentiation -- 7.4. Diffeomorphism invariance -- 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 ∉ N[sup(d)] -- 15.5. Proof of P ∈ 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. | |
| 588 | _aDescription based on publisher supplied metadata and other sources. | ||
| 590 | _aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. | ||
| 650 | 0 | _aTheory of distributions (Functional analysis). | |
| 655 | 4 | _aElectronic books. | |
| 700 | 1 | _aFarkas, Eva. | |
| 700 | 1 | _aKunzinger, Michael. | |
| 700 | 1 | _aSteinbauer, Roland. | |
| 776 | 0 | 8 |
_iPrint version: _aGrosser, Michael _tOn the Foundations of Nonlinear Generalized Functions I and II _dProvidence : American Mathematical Society,c2001 _z9780821827291 |
| 797 | 2 | _aProQuest (Firm) | |
| 830 | 0 | _aMemoirs of the American Mathematical Society | |
| 856 | 4 | 0 |
_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114527 _zClick to View |
| 999 |
_c70022 _d70022 |
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