An intrinsic characterisation of polyhomogeneous Lagrangian distributions
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- by M. S. Joshi PDF
- Proc. Amer. Math. Soc. 125 (1997), 1537-1543 Request permission
Abstract:
The purpose of this paper is to present a method of characterising polyhomogeneous Lagrangian distributions via testing by pseudo-differential operators. The concept of a radial operator for a Lagrangian submanifold is introduced, and polyhomogeneous Lagrangian distributions are shown to be the only Lagrangian distributions which are eigenfunctions at the top order for these operators.References
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Additional Information
- M. S. Joshi
- Affiliation: Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, Cambridge CB2 1SB, England, United Kingdom
- Email: joshi@pmms.cam.ac.uk
- Received by editor(s): September 20, 1995
- Received by editor(s) in revised form: November 14, 1995
- Additional Notes: This research forms part of my thesis research carried out at the Massachusetts Institute of Technology under the supervision of R.B. Melrose, and I would like to thank him for his guidance and advice.
- Communicated by: Jeffrey B. Rauch
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1537-1543
- MSC (1991): Primary 58G15
- DOI: https://doi.org/10.1090/S0002-9939-97-03737-4
- MathSciNet review: 1371128