Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

An intrinsic characterisation of polyhomogeneous Lagrangian distributions
HTML articles powered by AMS MathViewer

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
  • J. J. Duistermaat and L. Hörmander, Fourier integral operators. II, Acta Math. 128 (1972), no. 3-4, 183–269. MR 388464, DOI 10.1007/BF02392165
  • Lars Hörmander, Fourier integral operators. I, Acta Math. 127 (1971), no. 1-2, 79–183. MR 388463, DOI 10.1007/BF02392052
  • Alfred Rosenblatt, Sur les points singuliers des équations différentielles, C. R. Acad. Sci. Paris 209 (1939), 10–11 (French). MR 85
  • M.S. Joshi, A Precise Calculus of Paired Lagrangian Distributions, M.I.T. thesis, 1994.
  • M.S. Joshi, A Symbolic Contruction of the Forward Fundamental Solution of the Wave Operator, preprint
  • R.B. Melrose, Differential Analysis on Manifolds with Corners, forthcoming.
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 58G15
  • Retrieve articles in all journals with MSC (1991): 58G15
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