05172nam 22009255 450 99646638080331620200707020621.03-540-68268-610.1007/978-3-540-68268-4(CKB)1000000000437225(SSID)ssj0000319654(PQKBManifestationID)11246632(PQKBTitleCode)TC0000319654(PQKBWorkID)10338738(PQKB)10840315(DE-He213)978-3-540-68268-4(MiAaPQ)EBC3063113(MiAaPQ)EBC6281865(PPN)128124407(EXLCZ)99100000000043722520100301d2008 u| 0engurnn#008mamaatxtccrPseudo-Differential Operators[electronic resource] Quantization and Signals /by Hans G. Feichtinger, Bernard Helffer, Michael Lamoureux, Nicolas Lerner, Joachim Toft ; edited by Luigi Rodino, M. W. Wong1st ed. 2008.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2008.1 online resource (XXIV, 214 p. 11 illus.)C.I.M.E. Foundation Subseries ;1949Includes bibliographical references.3-540-68266-X Includes bibliographical references and index.Banach 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.Pseudo-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.C.I.M.E. Foundation Subseries ;1949Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-24, 2006Partial differential equationsOperator theoryApproximation theoryFourier analysisNumerical analysisQuantum physicsPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Operator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Approximations and Expansionshttps://scigraph.springernature.com/ontologies/product-market-codes/M12023Fourier Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12058Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Quantum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19080Partial differential equations.Operator theory.Approximation theory.Fourier analysis.Numerical analysis.Quantum physics.Partial Differential Equations.Operator Theory.Approximations and Expansions.Fourier Analysis.Numerical Analysis.Quantum Physics.515.7242Feichtinger Hans Gauthttp://id.loc.gov/vocabulary/relators/aut472503Helffer Bernardauthttp://id.loc.gov/vocabulary/relators/autLamoureux Michaelauthttp://id.loc.gov/vocabulary/relators/autLerner Nicolasauthttp://id.loc.gov/vocabulary/relators/autToft Joachimauthttp://id.loc.gov/vocabulary/relators/autRodino Luigiedthttp://id.loc.gov/vocabulary/relators/edtWong M. Wedthttp://id.loc.gov/vocabulary/relators/edtCentro internazionale matematico estivo.Summer School(2006 :Cetraro, Italy)SpringerLink (Online service)C.I.M.E. Session "Quantum Transport: Modelling Analysis and Asymptotics"(2006 :Cetraro, Italy)MiAaPQMiAaPQMiAaPQBOOK996466380803316Pseudo-differential operators230560UNISA