000			02736nam a22003738i 4500
001			CR9780511721441
003			UkCbUP
005			20200124160240.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100303s1994||||enk o ||1 0|eng|d
020			_a9780511721441 (ebook)
020			_z9780521449861 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	4	_aQA329.4 _b.G75 1994
082	0	0	_a515/.7242 _220
100	1		_aGrigis, Alain, _eauthor.
245	1	0	_aMicrolocal analysis for differential operators : _ban introduction / _cAlain Grigis, Johannes Sjöstrand.
264		1	_aCambridge : _bCambridge University Press, _c1994.
300			_a1 online resource (151 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v196
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_a1. Symbols and oscillatory integrals -- 2. The method of stationary phase -- 3. Pseudodifferential operators -- 4. Application to elliptic operators and L[superscript 2] continuity -- 5. Local symplectic geometry I (Hamilton-Jacobi theory) -- 6. The strictly hyperbolic Cauchy problem construction of a parametrix -- 7. The wavefront set (singular spectrum) of a distribution -- 8. Propagation of singularities for operators of real principle type -- 9. Local symplectic geometry II -- 10. Canonical transformations of pseudodifferential operators -- 11. Global theory of Fourier integral operators -- 12. Spectral theory for elliptic operators.
520			_aThis short introduction to microlocal analysis is presented, in the spirit of Hörmander, in the classical framework of partial differential equations. This theory has important applications in areas such as harmonic and complex analysis, and also in theoretical physics. Here Grigis and Sjöstrand emphasise the basic tools, especially the method of stationary phase, and they discuss wavefront sets, elliptic operators, local symplectic geometry, and WKB-constructions. The contents of the book correspond to a graduate course given many times by the authors. It should prove to be useful to mathematicians and theoretical physicists, either to enrich their general knowledge of this area, or as preparation for the current research literature.
650		0	_aDifferential operators.
650		0	_aMicrolocal analysis.
700	1		_aSjöstrand, J. _q(Johannes), _eauthor.
776	0	8	_iPrint version: _z9780521449861
830		0	_aLondon Mathematical Society lecture note series ; _v196.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511721441
999			_c518465 _d518463