02448cam  2200373 i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000340013305000230016708200180019010000460020824501240025426400700037830000370044833600210048533700250050633800230053149000740055450000650062850400670069350508050076050600500156553300950161553800360171058800470174665000340179377601420182785600430196985600620201217586671RPAM20170613145001.0m      b    001 0 cr/|||||||||||170613s2013    riu     ob    001 0 eng    a9780821895092 (online)  aDLCbengcDLCerdadDLCdRPAM00aQA329.7b.S63 201300a515/.72422231 aSobolev, A. V.q(Aleksandr Vladimirovich)10aPseudo-differential operators with discontinuous symbols :h[electronic resource] bWidom's conjecture /cA.V. Sobolev. 1aProvidence, Rhode Island :bAmerican Mathematical Society,c2013.  a1 online resource (v, 104 pages)  atext2rdacontent  aunmediated2rdamedia  avolume2rdacarrier0 aMemoirs of the American Mathematical Society, x1947-6221 ; vv. 1043  a"March 2013, Volume 222, Number 1043 (second of 5 numbers)."  aIncludes bibliographical references (pages 103-104) and index.00tChapter 1. IntroductiontChapter 2. Main resulttChapter 3. Estimates for PDO's with smooth symbolstChapter 4. Trace-class estimates for operators with non-smooth symbolstChapter 5. Further trace-class estimates for operators with non-smooth symbolstChapter 6. A Hilbert-Schmidt class estimatetChapter 7. LocalisationtChapter 8. Model problem in dimension onetChapter 9. Partitions of unity, and a reduction to the flat boundarytChapter 10. Asymptotics of the trace (9.1)tChapter 11. Proof of Theorem 2.9tChapter 12. Closing the asymptotics: Proof of Theorems 2.3 and 2.4tChapter 13. Appendix 1: A lemma by H. WidomtChapter 14. Appendix 2: Change of variablestChapter 15. Appendix 3: A trace-class formulatChapter 16. Appendix 4: Invariance with respect to the affine change of variables1 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2013  aMode of access : World Wide Web  aDescription based on print version record. 0aPseudodifferential operators.0 iPrint version: aSobolev, A. V.tPseudo-differential operators with discontinuous symbols :w(DLC)   2012043999x0065-9266z97808218848744 3Contentsuhttp://www.ams.org/memo/10434 3Contentsuhttps://doi.org/10.1090/S0065-9266-2012-00670-8