A Symbolic Construction of the Forward Fundamental Solution of the Wave Operator

  title={A Symbolic Construction of the Forward Fundamental Solution of the Wave Operator},
  author={Mark S. Joshi},
A calculus of polyhomogeneous paired Lagrangian distributions , associated to any two cleanly intersecting Lagrangian subman-ifolds, is constructed. The class is given an intrinsic characterisation using radial operators and a symbol calculus is developed. A class of pseudo-diierential operators with singular symbols is developed within the calculus. This is used to give symbolic constructions of parametrices for operators of real principal type and paired Lagrangian distributions. The calculus… CONTINUE READING

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