000			03062nam a22005175i 4500
001			978-3-7643-8512-5
003			DE-He213
005			20140220084552.0
007			cr nn 008mamaa
008			110129s2010 sz | s |||| 0|eng d
020			_a9783764385125 _9978-3-7643-8512-5
024	7		_a10.1007/978-3-7643-8512-5 _2doi
050		4	_aQA370-380
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.353 _223
100	1		_aNicola, Fabio. _eauthor.
245	1	0	_aGlobal Pseudo-Differential Calculus on Euclidean Spaces _h[electronic resource] / _cby Fabio Nicola, Luigi Rodino.
264		1	_aBasel : _bBirkhäuser Basel, _c2010.
300			_aX, 306 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 ; _v4
505	0		_aBackground meterial -- Global Pseudo-Differential Calculus -- ?-Pseudo-Differential Operators and H-Polynomials -- G-Pseudo-Differential Operators -- Spectral Theory -- Non-Commutative Residue and Dixmier Trace -- Exponential Decay and Holomorphic Extension of Solutions.
520			_aThis book is devoted to the global pseudo-differential calculus on Euclidean spaces and its applications to geometry and mathematical physics, with emphasis on operators of linear and non-linear quantum physics and travelling waves equations. The pseudo-differential calculus presented here has an elementary character, being addressed to a large audience of scientists. It includes the standard classes with global homogeneous structures, the so-called G and gamma operators. Concerning results for the applications, a first main line is represented by spectral theory. Beside complex powers of operators and asymptotics for the counting function, particular attention is here devoted to the non-commutative residue in Euclidean spaces and the Dixmier trace. Second main line is the self-contained presentation, for the first time in a text-book form, of the problem of the holomorphic extension of the solutions of the semi-linear globally elliptic equations. Entire extensions are discussed in detail. Exponential decay is simultaneously studied.
650		0	_aMathematics.
650		0	_aFourier analysis.
650		0	_aFunctional analysis.
650		0	_aGlobal analysis.
650		0	_aDifferential equations, partial.
650	1	4	_aMathematics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aGlobal Analysis and Analysis on Manifolds.
650	2	4	_aFourier Analysis.
650	2	4	_aFunctional Analysis.
700	1		_aRodino, Luigi. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783764385118
830		0	_aPseudo-Differential Operators, Theory and Applications ; _v4
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-7643-8512-5
912			_aZDB-2-SMA
999			_c112981 _d112981