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Pseudo-differential operators with discontinuous symbols Widom's conjecture / A.V. Sobolev.
| Author/creator | Sobolev, A. V. |
| Format | Electronic |
| Publication Info | Providence, Rhode Island : American Mathematical Society, 2013. |
| Description | v, 104 pages ; 25 cm. |
| Supplemental Content | Full text available from Memoirs of the American Mathematical Society |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Subjects |
| Series | Memoirs of the American Mathematical Society, 0065-9266 ; number 1043 |
| Contents | Introduction -- Main result -- Estimates for PDO's with smooth symbols -- Trace-class estimates for operators with non-smooth symbols -- Further trace-class estimates for operators with non-smooth symbols -- A Hilbert-Schmidt class estimate -- Localisation -- Model problem in dimension one -- Partitions of unity, and a reduction to the flat boundary -- Asymptotics of the trace (9.1) -- Proof of theorem 2.9 -- Closing the asymptotics: proof of theorems 2.3 and 2.4 -- Appendix 1: a lemma by H. Widom -- Appendix 2: change of variables -- Appendix 3: a trace-class formula -- Appendix 4: invariance with respect to the affine change of variables. |
| General note | "March 2013, Volume 222, Number 1043 (second of 5 numbers)." |
| Bibliography note | Includes bibliographical references (pages 103-104) and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2012043999 |
| ISBN | 9780821884874 (alk. paper) |
| ISBN | 0821884875 (alk. paper) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |