Beals-cordes-type characterizations of pseudodifferential operators

Proceedings of the American Mathematical Society

Volumn 125, Issue 6, 1997, Pages 1711-1716

  Taylor, Michael E ^a  

^a The University of North Carolina at Chapel Hill   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21744439602     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-03753-2     Document Type: Article

References (11)

1. [B] R. Beals, Characterization of pseudodifferential operators and applications, Duke Math. J. 44 (1977), 45-57; correction 46 (1979), 215. MR 55:8884; MR 80b:47062
2. [C] H. Cordes, On pseudodifferential operators and smoothness of special Lie group representations, Manuscripta Math. 28 (1979), 51-69. MR 80m:47047
3. [C2] H. Cordes, The technique of pseudodifferential operators, LMS #202, Cambridge Univ. Press, 1995. MR 96b:35001
4. [D] J. Duneau, Fonctions d'un opérateur elliptique sur une variété compacte, J. Math. Pures et Appl. 56 (1977), 367-391.
5. [GY] J. Goodman and D. Yang, Local solvability of nonlinear partial differential equations of real principal type, Preprint, 1987.
6. [GS] V. Guillemin and S. Sternberg, Symplectic techniques in physics, Cambridge Univ. Press, 1984. MR 86f:58054
7. [H] R. Hamilton, The inverse function theorem of Nash-Moser, Bull. AMS 7 (1982), 65-222. MR 83j:58014
8. [P] K. Payne, Smooth Frechet algebras and Lie groups of pseudodifferential operators, Comm. Pure Appl. Math. 44 (1991), 309-337. MR 92a:58140
9. [Tl] M. Taylor, Fourier integral operators and harmonic analysis on compact manifolds, Proc. Symp. Pure Math. 35 (Part 2) (1979), 115-136. MR 81i:58042
10. [T2] M. Taylor, Pseudodifferential operators, Princeton Univ. Press, 1981. MR 82i:35172
11. [T3] M. Taylor, Noncommutative Microlocal Analysis, Part I, Memoirs AMS #313, 1984. MR 86f:58156