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Record Nr. |
UNINA9910819072503321 |
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Autore |
Sobolev A. V (Aleksandr Vladimirovich) |
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Titolo |
Pseudo-differential operators with discontinuous symbols : Widom's conjecture / / A.V. Sobolev |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2011 |
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©2011 |
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ISBN |
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Descrizione fisica |
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1 online resource (104 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 222, Number 1043 |
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Disciplina |
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Soggetti |
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Pseudodifferential operators |
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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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"March 2013, Volume 222, Number 1043 (second of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Main result""; ""Chapter 3. Estimates for PDO�s with smooth symbols""; ""Chapter 4. Trace-class estimates for operators with non-smooth symbols""; ""Chapter 5. Further trace-class estimates for operators with non-smooth symbols""; ""Chapter 6. A Hilbert-Schmidt class estimate""; ""Chapter 7. Localisation""; ""Chapter 8. Model problem in dimension one""; ""Chapter 9. Partitions of unity, and a reduction to the flat boundary""; ""Chapter 10. Asymptotics of the trace (9.1)""; ""Chapter 11. Proof of Theorem 2.9"" |
""Chapter 12. Closing the asymptotics: Proof of Theorems 2.3 and 2.4""""Chapter 13. Appendix 1: A lemma by H. Widom""; ""Chapter 14. Appendix 2: Change of variables""; ""Chapter 15. Appendix 3: A trace-class formula""; ""Chapter 16. Appendix 4: Invariance with respect to the affine change of variables""; ""Bibliography"" |
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