Seminar on Micro-Local Analysis (eBook)

Victor Guillemin, Masaki Kashiwara, Takahiro Kawai (Autoren)

eBook Download: PDF

2016
Princeton University Press (Verlag)
978-1-4008-8157-4 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 2.3.2016
• Reihe/Serie: Annals of Mathematics Studies
• Reihe/Serie: Annals of Mathematics Studies
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Schlagworte: 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 • Degenerate bilinear form • Diagonal matrix • differentiable manifold • Differential operator • Dimension • Dimension (vector space) • D-Module • 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
• ISBN-10: 1-4008-8157-9 / 1400881579
• ISBN-13: 978-1-4008-8157-4 / 9781400881574