LEADER 05174nam 22009255 450 001 9910484419003321 005 20200707020621.0 010 $a3-540-68268-6 024 7 $a10.1007/978-3-540-68268-4 035 $a(CKB)1000000000437225 035 $a(SSID)ssj0000319654 035 $a(PQKBManifestationID)11246632 035 $a(PQKBTitleCode)TC0000319654 035 $a(PQKBWorkID)10338738 035 $a(PQKB)10840315 035 $a(DE-He213)978-3-540-68268-4 035 $a(MiAaPQ)EBC3063113 035 $a(MiAaPQ)EBC6281865 035 $a(PPN)128124407 035 $a(EXLCZ)991000000000437225 100 $a20100301d2008 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aPseudo-Differential Operators$b[electronic resource] $eQuantization and Signals /$fby Hans G. Feichtinger, Bernard Helffer, Michael Lamoureux, Nicolas Lerner, Joachim Toft ; edited by Luigi Rodino, M. W. Wong 205 $a1st ed. 2008. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2008. 215 $a1 online resource (XXIV, 214 p. 11 illus.) 225 1 $aC.I.M.E. Foundation Subseries ;$v1949 300 $aIncludes bibliographical references. 311 $a3-540-68266-X 320 $aIncludes bibliographical references and index. 327 $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. 330 $aPseudo-differential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudo-differential operators, Weyl transforms, Daubechies operators, Wick quantization and time-frequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted. 410 0$aC.I.M.E. Foundation Subseries ;$v1949 517 3 $aLectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-24, 2006 606 $aPartial differential equations 606 $aOperator theory 606 $aApproximation theory 606 $aFourier analysis 606 $aNumerical analysis 606 $aQuantum physics 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 606 $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023 606 $aFourier Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12058 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 615 0$aPartial differential equations. 615 0$aOperator theory. 615 0$aApproximation theory. 615 0$aFourier analysis. 615 0$aNumerical analysis. 615 0$aQuantum physics. 615 14$aPartial Differential Equations. 615 24$aOperator Theory. 615 24$aApproximations and Expansions. 615 24$aFourier Analysis. 615 24$aNumerical Analysis. 615 24$aQuantum Physics. 676 $a515.7242 700 $aFeichtinger$b Hans G$4aut$4http://id.loc.gov/vocabulary/relators/aut$0472503 702 $aHelffer$b Bernard$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aLamoureux$b Michael$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aLerner$b Nicolas$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aToft$b Joachim$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aRodino$b Luigi$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aWong$b M. W$4edt$4http://id.loc.gov/vocabulary/relators/edt 712 02$aCentro internazionale matematico estivo.$bSummer School$f(2006 :$eCetraro, Italy) 712 02$aSpringerLink (Online service) 712 12$aC.I.M.E. Session "Quantum Transport: Modelling Analysis and Asymptotics"$f(2006 :$eCetraro, Italy) 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484419003321 996 $aPseudo-differential operators$9230560 997 $aUNINA