000 03040nam a22005055i 4500
001 u377014
003 SIRSI
005 20160812084442.0
007 cr nn 008mamaa
008 110129s2010 sz | s |||| 0|eng d
020 _a9783764385125
_9978-3-7643-8512-5
040 _cMX-MeUAM
050 4 _aQA370-380
082 0 4 _a515.353
_223
100 1 _aNicola, Fabio.
_eauthor.
245 1 0 _aGlobal Pseudo-Differential Calculus on Euclidean Spaces
_h[recurso electrónico] /
_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 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-7643-8512-5
596 _a19
942 _cLIBRO_ELEC
999 _c204894
_d204894