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

@inproceedings{Joshi1998ASC,
  title={A Symbolic Construction of the Forward Fundamental Solution of the Wave Operator},
  author={Mark S. Joshi},
  year={1998}
}
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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References

Publications referenced by this paper.
Showing 1-10 of 20 references

An Intrinsic Characterisation of Polyhomogeneous Lagrangian Distributions

  • M S Joshi
  • Proc. Amer. Math. Soc
  • 1997

Distributions Assoiciated to 2-Microlocal Pair of Lagrangian Manifolds

  • P Laubin, B Willems
  • Comm. Partial Diierential Equations
  • 1994

Trace Formulas and the Conley-Zehnder Index

  • E Meinrenken
  • Journal of Geometry and Physics. no
  • 1994

Functional Analysis

  • F Riesz, B Sz, Nagy
  • Functional Analysis
  • 1990

A Functional Calculus for a Class of Pseudodiierential Operators with Singular Symbols

  • J Antoniano, G Uhlmann
  • Proceedings of Symposia in Pure Mathematics
  • 1985

Analysis of Linear Partial Diierential Operators

  • L Hh Ormander
  • Analysis of Linear Partial Diierential Operators
  • 1985

Oscillatory Integrals with Singular Symbols

  • W Guillemin, G Uhlmann
  • Duke Mathematical Journal
  • 1981

The Weil Representation, Maslov Index and Theta Series

  • G Lion, M Vergne
  • Progr. Math
  • 1980

Lagrangian Intersection and the Cauchy Problem

  • R B Melrose, G Uhlmann
  • Communications in Pure and Applied Mathematics
  • 1979

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