Pseudo-differential operators with discontinuous symbols : Widom's conjecture /
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Main Authors: | |
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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. |