LEADER 03995nam 22006375 450 001 996466515903316 005 20200701221245.0 010 $a3-642-11922-0 024 7 $a10.1007/978-3-642-11922-4 035 $a(CKB)2550000000015806 035 $a(SSID)ssj0000399638 035 $a(PQKBManifestationID)11250032 035 $a(PQKBTitleCode)TC0000399638 035 $a(PQKBWorkID)10375805 035 $a(PQKB)11468556 035 $a(DE-He213)978-3-642-11922-4 035 $a(MiAaPQ)EBC3065557 035 $a(PPN)149078617 035 $a(EXLCZ)992550000000015806 100 $a20100721d2010 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSpectral Theory of Non-Commutative Harmonic Oscillators: An Introduction$b[electronic resource] /$fby Alberto Parmeggiani 205 $a1st ed. 2010. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2010. 215 $a1 online resource (XII, 260 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1992 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-11921-2 320 $aIncludes bibliographical references and index. 327 $aThe Harmonic Oscillator -- The Weyl?Hörmander Calculus -- The Spectral Counting Function N(?) and the Behavior of the Eigenvalues: Part 1 -- The Heat-Semigroup, Functional Calculus and Kernels -- The Spectral Counting Function N(?) and the Behavior of the Eigenvalues: Part 2 -- The Spectral Zeta Function -- Some Properties of the Eigenvalues of -- Some Tools from the Semiclassical Calculus -- On Operators Induced by General Finite-Rank Orthogonal Projections -- Energy-Levels, Dynamics, and the Maslov Index -- Localization and Multiplicity of a Self-Adjoint Elliptic 2×2 Positive NCHO in . 330 $aThis volume describes the spectral theory of the Weyl quantization of systems of polynomials in phase-space variables, modelled after the harmonic oscillator. The main technique used is pseudodifferential calculus, including global and semiclassical variants. The main results concern the meromorphic continuation of the spectral zeta function associated with the spectrum, and the localization (and the multiplicity) of the eigenvalues of such systems, described in terms of ?classical? invariants (such as the periods of the periodic trajectories of the bicharacteristic flow associated with the eiganvalues of the symbol). The book utilizes techniques that are very powerful and flexible and presents an approach that could also be used for a variety of other problems. It also features expositions on different results throughout the literature. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1992 606 $aPartial differential equations 606 $aGlobal analysis (Mathematics) 606 $aManifolds (Mathematics) 606 $aMathematical physics 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 615 0$aPartial differential equations. 615 0$aGlobal analysis (Mathematics). 615 0$aManifolds (Mathematics). 615 0$aMathematical physics. 615 14$aPartial Differential Equations. 615 24$aGlobal Analysis and Analysis on Manifolds. 615 24$aTheoretical, Mathematical and Computational Physics. 676 $a515.353 700 $aParmeggiani$b Alberto$4aut$4http://id.loc.gov/vocabulary/relators/aut$0478937 906 $aBOOK 912 $a996466515903316 996 $aSpectral theory of non-commutative harmonic oscillators: an introduction$92572912 997 $aUNISA LEADER 01430nam 2200373 n 450 001 996391207003316 005 20221107224201.0 035 $a(CKB)4940000000107032 035 $a(EEBO)2248538792 035 $a(UnM)99861005e 035 $a(UnM)99861005 035 $a(EXLCZ)994940000000107032 100 $a19911220d1645 uy | 101 0 $aeng 135 $aurbn||||a|bb| 200 14$aThe Great Turkes letter$b[electronic resource] $esent vnto the Prince of Transilvania. Containing many impious, and unheard of blasphemies, against our saviour Christ, and fearefull threatnings against all Christendome. Translated out of the French copy printed at Paris. And re-printed here according to order 210 $aLondon, $cPrinted by T. Forcet$d1645 215 $a[2], 6 p 300 $aThe Great Turke = Sultan Ibrahim. 300 $aAnnotation on Thomason copy: "Aug: 8th". 300 $aReproduction of the original in the British Library. 330 $aeebo-0018 606 $aIslam$xRelations$xChristianity$vEarly works to 1800 607 $aTurkey$xHistory$y1453-1683$vEarly works to 1800 615 0$aIslam$xRelations$xChristianity 700 $aI?brahim$cSultan of the Turks,$f1615-1648.$01016792 801 0$bCu-RivES 801 1$bCu-RivES 801 2$bCStRLIN 801 2$bWaOLN 906 $aBOOK 912 $a996391207003316 996 $aThe Great Turkes letter$92381084 997 $aUNISA