"Pseudo-differential operators with discontinuous symbols" - Information and Links:

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Widom's conjecture

"Pseudo-differential operators with discontinuous symbols" was published by American Mathematical Society in 2013 - Providence, Rhode Island, it has 104 pages and the language of the book is English.


“Pseudo-differential operators with discontinuous symbols” Metadata:

  • Title: ➤  Pseudo-differential operators with discontinuous symbols
  • Author:
  • Language: English
  • Number of Pages: 104
  • Publisher: American Mathematical Society
  • Publish Date:
  • Publish Location: Providence, Rhode Island

“Pseudo-differential operators with discontinuous symbols” Subjects and Themes:

Edition Specifications:

  • Pagination: v, 104 pages

Edition Identifiers:

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"Pseudo-differential operators with discontinuous symbols" Table Of Contents:

  • 1- Introduction
  • 2- Main result
  • 3- Estimates for PDO's with smooth symbols
  • 4- Trace-class estimates for operators with non-smooth symbols
  • 5- Further trace-class estimates for operators with non-smooth symbols
  • 6- A Hilbert-Schmidt class estimate
  • 7- Localisation
  • 8- Model problem in dimension one
  • 9- Partitions of unity, and a reduction to the flat boundary
  • 10- Asymptotics of the trace (9.1)
  • 11- Proof of theorem 2.9
  • 12- Closing the asymptotics: proof of theorems 2.3 and 2.4
  • 13- Appendix 1: a lemma by H. Widom
  • 14- Appendix 2: change of variables
  • 15- Appendix 3: a trace-class formula
  • 16- Appendix 4: invariance with respect to the affine change of variables.

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