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Seminar on Micro-Local Analysis. (AM-93), Volume 93 / / Victor Guillemin, Masaki Kashiwara, Takahiro Kawai



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Autore: Guillemin Victor Visualizza persona
Titolo: Seminar on Micro-Local Analysis. (AM-93), Volume 93 / / Victor Guillemin, Masaki Kashiwara, Takahiro Kawai Visualizza cluster
Pubblicazione: Princeton, NJ : , : Princeton University Press, , [2016]
©1980
Descrizione fisica: 1 online resource (148 pages)
Disciplina: 515
Soggetto topico: Mathematical analysis
Soggetto non controllato: Addition
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
Persona (resp. second.): KashiwaraMasaki
KawaiTakahiro
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references at the end of each chapters.
Nota di contenuto: 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 -- Backmatter
Sommario/riassunto: Based 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.
Titolo autorizzato: Seminar on Micro-Local Analysis. (AM-93), Volume 93  Visualizza cluster
ISBN: 1-4008-8157-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910154746003321
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Serie: Annals of mathematics studies ; ; Number 93.