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

By M. S. Joshi


A calculus of polyhomogeneous paired Lagrangian distributions, associated to any two cleanly intersecting Lagrangian submanifolds, is constructed. The class is given an intrinsic characterisation using radial operators and a symbol calculus is developed. A class of pseudo-differential 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

Year: 1998
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