Cargando…

Pseudo-differential operators with discontinuous symbols : Widom's conjecture /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sobolev, A. V. (Aleksandr Vladimirovich) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2011.
Colección:Memoirs of the American Mathematical Society ; Volume 222, no. 1043.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • ""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Main result""; ""Chapter 3. Estimates for PDOâ€?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 2.4Chapter 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