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Pseudo-differential operators with discontinuous symbols : [electronic resource] Widom's conjecture / A.V. Sobolev.

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 1043Publisher: Providence, Rhode Island : American Mathematical Society, 2013Description: 1 online resource (v, 104 pages)Content type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9780821895092 (online)
Subject(s): Additional physical formats: Pseudo-differential operators with discontinuous symbols :DDC classification:
  • 515/.7242 23
LOC classification:
  • QA329.7 .S63 2013
Online resources:
Contents:
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
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK13496

"March 2013, Volume 222, Number 1043 (second of 5 numbers)."

Includes bibliographical references (pages 103-104) and index.

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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2013

Mode of access : World Wide Web

Description based on print version record.

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