000 02894nam a22004335i 4500
001 978-3-7643-8510-1
003 DE-He213
005 20140220084552.0
007 cr nn 008mamaa
008 110129s2010 sz | s |||| 0|eng d
020 _a9783764385101
_9978-3-7643-8510-1
024 7 _a10.1007/978-3-7643-8510-1
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aLerner, Nicolas.
_eauthor.
245 1 0 _aMetrics on the Phase Space and Non-Selfadjoint Pseudo-Differential Operators
_h[electronic resource] /
_cby Nicolas Lerner.
264 1 _aBasel :
_bBirkhäuser Basel,
_c2010.
300 _axii, 397 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aPseudo-Differential Operators, Theory and Applications ;
_v3
505 0 _aBasic Notions of Phase Space Analysis -- Metrics on the Phase Space -- Estimates for Non-Selfadjoint Operators.
520 _aThis book is devoted to the study of pseudo-differential operators, with special emphasis on non-selfadjoint operators, a priori estimates and localization in the phase space. We expose the most recent developments of the theory with its applications to local solvability and semi-classical estimates for nonselfadjoint operators. The first chapter is introductory and gives a presentation of classical classes of pseudo-differential operators. The second chapter is dealing with the general notion of metrics on the phase space. We expose some elements of the so-called Wick calculus and introduce general Sobolev spaces attached to a pseudo-differential calculus. The third and last chapter, is devoted to the topic of non-selfadjoint pseudo-differential operators. After some introductory examples, we enter into the discussion of estimates with loss of one derivative, starting with the proof of local solvability with loss of one derivative under condition (P). We show that an estimate with loss of one derivative is not a consequence of condition (Psi). Finally, we give a proof of an estimate with loss of 3/2 derivatives under condition (Psi). This book is accessible to graduate students in Analysis, and provides an up-todate overview of the subject, hopefully useful to researchers in PDE and Semi-classical Analysis.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783764385095
830 0 _aPseudo-Differential Operators, Theory and Applications ;
_v3
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-7643-8510-1
912 _aZDB-2-SMA
999 _c112980
_d112980