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Pseudodifferential operators with discontinuous symbols : Widom's conjecture / A.V. Sobolev.
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QA3 .A57 NO.1043
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Author/Creator:
Sobolev, A. V. (Aleksandr Vladimirovich)
Language:
English.
Publication date:
2013
Publication:
Providence, Rhode Island : American Mathematical Society, 2013.
Format:
Book
v, 104 pages ; 25 cm.
Note:
"March 2013, Volume 222, Number 1043 (second of 5 numbers)."
Bibliography:
Includes bibliographical references (pages 103104) and index.
Contents:
Introduction
Main result
Estimates for PDO's with smooth symbols
Traceclass estimates for operators with nonsmooth symbols
Further traceclass estimates for operators with nonsmooth symbols
A HilbertSchmidt 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 traceclass formula
Appendix 4: invariance with respect to the affine change of variables.
Series:
Memoirs of the American Mathematical Society, 00659266 ; no. 1043
Memoirs of the American Mathematical Society ;
no. 1043.
Subjects:
Pseudodifferential operators.
ISBN:
9780821884874
0821884875
Catkey: 10213148
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