Screen LibraryPseudo-differential operators with discontinuous symbols : Widom's conjecture /
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| Main Authors: | |
|---|---|
| Published: |
American Mathematical Society,
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| Publisher Address: | Providence, Rhode Island : |
| Publication Dates: | 2013. |
| Literature type: | Book |
| Language: | English |
| Series: |
Memoirs of the American Mathematical Society,
no. 1043 |
| Subjects: | |
| Item Description: | "March 2013, Volume 222, Number 1043 (second of 5 numbers)." |
| Carrier Form: | v, 104 pages ; 25 cm. |
| Bibliography: | Includes bibliographical references (pages 103-104) and index. |
| ISBN: |
9780821884874 (paperback : alkaline paper) : 0821884875 (alkaline paper) |
| Index Number: | QA329 |
| CLC: | O175.3 |
| Call Number: | O175.3/S677 |
| 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. |