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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
072 7 _aPBKJ
_2thema
082 0 4 _a515.353
_223
100 1 _aFeichtinger, Hans G.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
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
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2008.
300 _aXXIV, 214 p. 11 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aC.I.M.E. Foundation Subseries ;
_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 _aDifferential equations, partial.
650 0 _aOperator theory.
650 0 _aMathematics.
650 0 _aFourier analysis.
650 0 _aNumerical analysis.
650 0 _aQuantum theory.
650 1 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aOperator Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M12139
650 2 4 _aApproximations and Expansions.
_0http://scigraph.springernature.com/things/product-market-codes/M12023
650 2 4 _aFourier Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12058
650 2 4 _aNumerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M14050
650 2 4 _aQuantum Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19080
700 1 _aHelffer, Bernard.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aLamoureux, Michael P.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aLerner, Nicolas.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aToft, Joachim.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aRodino, Luigi.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aWong, M. W.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540863977
776 0 8 _iPrinted edition:
_z9783540682660
830 0 _aC.I.M.E. Foundation Subseries ;
_v1949
856 4 0 _uhttps://doi.org/10.1007/978-3-540-68268-4
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c9894
_d9894