LEADER 05453nam 22014295 450 001 9910154746003321 005 20190708092533.0 010 $a1-4008-8157-9 024 7 $a10.1515/9781400881574 035 $a(CKB)3710000000628088 035 $a(SSID)ssj0001651326 035 $a(PQKBManifestationID)16426444 035 $a(PQKBTitleCode)TC0001651326 035 $a(PQKBWorkID)14103556 035 $a(PQKB)10946443 035 $a(MiAaPQ)EBC4738534 035 $a(DE-B1597)468043 035 $a(OCoLC)979970556 035 $a(DE-B1597)9781400881574 035 $a(EXLCZ)993710000000628088 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSeminar on Micro-Local Analysis. (AM-93), Volume 93 /$fVictor Guillemin, Masaki Kashiwara, Takahiro Kawai 210 1$aPrinceton, NJ : $cPrinceton University Press, $d[2016] 210 4$dİ1980 215 $a1 online resource (148 pages) 225 0 $aAnnals of Mathematics Studies ;$v258 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-691-08232-4 311 $a0-691-08228-6 320 $aIncludes bibliographical references at the end of each chapters. 327 $tFrontmatter -- $tTABLE OF CONTENTS -- $tPREFACE -- $tINTRODUCTION TO THE THEORY OF HYPERFUNCTIONS / $rKashiwara, Masaki -- $tSOME APPLICATIONS OF BOUNDARY VALUE PROBLEMS FOR ELLIPTIC SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS / $rKashiwara, Masaki / Kawai, Takahiro -- $tA SZEGO-TYPE THEOREM FOR SYMMETRIC SPACES / $rGuillemin, Victor -- $tSOME MICRO-LOCAL ASPECTS OF ANALYSIS ON COMPACT SYMMETRIC SPACES / $rGuillemin, Victor -- $tON HOLONOMIC SYSTEMS WITH REGULAR SINGULARITIES / $rKashiwara, Masaki / Kawai, Takahiro -- $tMICRO-LOCAL ANALYSIS OF FEYNMAN AMPLITUDES / $rKashiwara, Masaki / Kawai, Takahiro -- $tBackmatter 330 $aBased on a seminar sponsored by the Institute for Advanced Study in 1977-1978, this set of papers introduces micro-local analysis concisely and clearly to mathematicians with an analytical background. The papers treat the theory of microfunctions and applications such as boundary values of elliptic partial differential equations, propagation of singularities in the vicinity of degenerate characteristics, holonomic systems, Feynman integrals from the hyperfunction point of view, and harmonic analysis on Lie groups. 410 0$aAnnals of mathematics studies ;$vNumber 93. 606 $aMathematical analysis 610 $aAddition. 610 $aAnalytic function. 610 $aAnalytic manifold. 610 $aAsymptotic analysis. 610 $aBernhard Riemann. 610 $aBoundary value problem. 610 $aBounded operator. 610 $aCartan subgroup. 610 $aCharacterization (mathematics). 610 $aClass function (algebra). 610 $aClosed-form expression. 610 $aCodimension. 610 $aCohomology. 610 $aCompact space. 610 $aComparison theorem. 610 $aContact geometry. 610 $aContinuous function. 610 $aContinuous linear operator. 610 $aConvex hull. 610 $aCotangent bundle. 610 $aD-module. 610 $aDegenerate bilinear form. 610 $aDiagonal matrix. 610 $aDifferentiable manifold. 610 $aDifferential operator. 610 $aDimension (vector space). 610 $aDimension. 610 $aElliptic partial differential equation. 610 $aEquation. 610 $aExistence theorem. 610 $aFourier integral operator. 610 $aGeneric point. 610 $aGroup theory. 610 $aHarmonic analysis. 610 $aHolomorphic function. 610 $aHolonomic. 610 $aHomogeneous space. 610 $aHyperfunction. 610 $aHypersurface. 610 $aIdentity element. 610 $aIrreducible representation. 610 $aKilling form. 610 $aLagrangian (field theory). 610 $aLie algebra. 610 $aLie group. 610 $aLinear differential equation. 610 $aLocally compact space. 610 $aMasaki Kashiwara. 610 $aMaximal ideal. 610 $aMonodromy. 610 $aNatural number. 610 $aNeighbourhood (mathematics). 610 $aOrdinary differential equation. 610 $aOrthogonal complement. 610 $aPartial differential equation. 610 $aPath integral formulation. 610 $aProper map. 610 $aPseudo-differential operator. 610 $aRegularity theorem. 610 $aSigurdur Helgason (mathematician). 610 $aSubmanifold. 610 $aSubset. 610 $aSummation. 610 $aSymmetric space. 610 $aSymplectic geometry. 610 $aTangent cone. 610 $aTheorem. 610 $aTopological space. 610 $aVector bundle. 610 $aVictor Guillemin. 610 $aWeyl group. 615 0$aMathematical analysis. 676 $a515 700 $aGuillemin$b Victor, $040563 702 $aKashiwara$b Masaki, 702 $aKawai$b Takahiro, 712 02$aInstitute for Advanced Study (Princeton, N.J.) 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154746003321 996 $aSeminar on Micro-Local Analysis. (AM-93), Volume 93$92839651 997 $aUNINA