05453nam 22014295 450 991015474600332120190708092533.01-4008-8157-910.1515/9781400881574(CKB)3710000000628088(SSID)ssj0001651326(PQKBManifestationID)16426444(PQKBTitleCode)TC0001651326(PQKBWorkID)14103556(PQKB)10946443(MiAaPQ)EBC4738534(DE-B1597)468043(OCoLC)979970556(DE-B1597)9781400881574(EXLCZ)99371000000062808820190708d2016 fg engurcnu||||||||txtccrSeminar on Micro-Local Analysis. (AM-93), Volume 93 /Victor Guillemin, Masaki Kashiwara, Takahiro KawaiPrinceton, NJ : Princeton University Press, [2016]©19801 online resource (148 pages)Annals of Mathematics Studies ;258Bibliographic Level Mode of Issuance: Monograph0-691-08232-4 0-691-08228-6 Includes bibliographical references at the end of each chapters.Frontmatter -- TABLE OF CONTENTS -- PREFACE -- INTRODUCTION TO THE THEORY OF HYPERFUNCTIONS / Kashiwara, Masaki -- SOME APPLICATIONS OF BOUNDARY VALUE PROBLEMS FOR ELLIPTIC SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS / Kashiwara, Masaki / Kawai, Takahiro -- A SZEGO-TYPE THEOREM FOR SYMMETRIC SPACES / Guillemin, Victor -- SOME MICRO-LOCAL ASPECTS OF ANALYSIS ON COMPACT SYMMETRIC SPACES / Guillemin, Victor -- ON HOLONOMIC SYSTEMS WITH REGULAR SINGULARITIES / Kashiwara, Masaki / Kawai, Takahiro -- MICRO-LOCAL ANALYSIS OF FEYNMAN AMPLITUDES / Kashiwara, Masaki / Kawai, Takahiro -- BackmatterBased 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.Annals of mathematics studies ;Number 93.Mathematical analysisAddition.Analytic function.Analytic manifold.Asymptotic analysis.Bernhard Riemann.Boundary value problem.Bounded operator.Cartan subgroup.Characterization (mathematics).Class function (algebra).Closed-form expression.Codimension.Cohomology.Compact space.Comparison theorem.Contact geometry.Continuous function.Continuous linear operator.Convex hull.Cotangent bundle.D-module.Degenerate bilinear form.Diagonal matrix.Differentiable manifold.Differential operator.Dimension (vector space).Dimension.Elliptic partial differential equation.Equation.Existence theorem.Fourier integral operator.Generic point.Group theory.Harmonic analysis.Holomorphic function.Holonomic.Homogeneous space.Hyperfunction.Hypersurface.Identity element.Irreducible representation.Killing form.Lagrangian (field theory).Lie algebra.Lie group.Linear differential equation.Locally compact space.Masaki Kashiwara.Maximal ideal.Monodromy.Natural number.Neighbourhood (mathematics).Ordinary differential equation.Orthogonal complement.Partial differential equation.Path integral formulation.Proper map.Pseudo-differential operator.Regularity theorem.Sigurdur Helgason (mathematician).Submanifold.Subset.Summation.Symmetric space.Symplectic geometry.Tangent cone.Theorem.Topological space.Vector bundle.Victor Guillemin.Weyl group.Mathematical analysis.515Guillemin Victor, 40563Kashiwara Masaki, Kawai Takahiro, Institute for Advanced Study (Princeton, N.J.)DE-B1597DE-B1597BOOK9910154746003321Seminar on Micro-Local Analysis. (AM-93), Volume 932839651UNINA