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001 978-3-540-68268-4
003 DE-He213
005 20160624101832.0
007 cr nn 008mamaa
008 100301s2008 gw | s |||| 0|eng d
020 _a9783540682684
_9978-3-540-68268-4
024 7 _a10.1007/978-3-540-68268-4
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.353
_223
100 1 _aFeichtinger, Hans G.
_eauthor.
245 1 0 _aPseudo-Differential Operators
_h[electronic resource] :
_bQuantization and Signals /
_cby Hans G. Feichtinger, Bernard Helffer, Michael P. Lamoureux, Nicolas Lerner, Joachim Toft ; edited by Luigi Rodino, M. W. Wong.
246 3 _aLectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-24, 2006
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2008.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2008.
300 _bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1949
505 0 _aBanach Gelfand Triples for Gabor Analysis -- Four Lectures in Semiclassical Analysis for Non Self-Adjoint Problems with Applications to Hydrodynamic Instability -- An Introduction to Numerical Methods of Pseudodifferential Operators -- Some Facts About the Wick Calculus -- Schatten Properties for Pseudo-Differential Operators on Modulation Spaces.
520 _aPseudo-differential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudo-differential operators, Weyl transforms, Daubechies operators, Wick quantization and time-frequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted.
650 0 _aMathematics.
650 0 _aFourier analysis.
650 0 _aOperator theory.
650 0 _aDifferential equations, partial.
650 0 _aNumerical analysis.
650 0 _aQuantum theory.
650 1 4 _aMathematics.
650 2 4 _aPartial Differential Equations.
650 2 4 _aOperator Theory.
650 2 4 _aApproximations and Expansions.
650 2 4 _aFourier Analysis.
650 2 4 _aNumerical Analysis.
650 2 4 _aQuantum Physics.
700 1 _aHelffer, Bernard.
_eauthor.
700 1 _aLamoureux, Michael P.
_eauthor.
700 1 _aLerner, Nicolas.
_eauthor.
700 1 _aToft, Joachim.
_eauthor.
700 1 _aRodino, Luigi.
_eeditor.
700 1 _aWong, M. W.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540682660
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1949
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-540-68268-4
942 _2EBK1769
_cEBK
999 _c31063
_d31063