Abstract
Singularities in linear wave propagation.- Hyperbolic operators with constant coefficients.- Wave front sets and oscillatory integrals.- Pseudodifferential operators.- The Hamilton-Jacobi equation and symplectic geometry.- A global parametrix for the fundamental solution of a first order hyperbolic pseudodifferential operator.- Changes of variables and duality for general oscillatory integrals.- Sharp and diffuse fronts of paired oscillatory integrals.
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