Pseudo-differential operators with discontinuous symbols
Subtitle: Widom's conjecture
By: A.V. Sobolev
Series: Memoirs of the American Mathematical Society -- number 1043
Publisher: American Mathematical Society
Published: 2013
Place of publication: Providence, Rhode Island
Language: eng
Number of pages: 104
ISBN-13: 9780821884874
Subjects: Pseudodifferential operators
Notes: "March 2013, Volume 222, Number 1043 (second of 5 numbers)."

Includes bibliographical references (pages 103-104) and index.
Table of contents: title: Introduction; title: Main result; title: Estimates for PDO's with smooth symbols; title: Trace-class estimates for operators with non-smooth symbols; title: Further trace-class estimates for operators with non-smooth symbols; title: A Hilbert-Schmidt class estimate; title: Localisation; title: Model problem in dimension one; title: Partitions of unity, and a reduction to the flat boundary; title: Asymptotics of the trace (9.1); title: Proof of theorem 2.9; title: Closing the asymptotics: proof of theorems 2.3 and 2.4; title: Appendix 1: a lemma by H. Widom; title: Appendix 2: change of variables; title: Appendix 3: a trace-class formula; title: Appendix 4: invariance with respect to the affine change of variables.