Principe d'incertitude et microlocalisation

 Access to full text

 Full (PDF)

1. [1] R. Beais - A general calculus of pseudo-differential operators, Duke Math. J., 42, 1-42, 1975. 
2. [2] R. Beals, C. Fefferman - On local solvability of linear partial differential equations, Ann. of Math.97, 482-498, 1973. Zbl0256.35002MR352746
3. [3] R. Beais, C. Fefferman - Spatially inhomogeneous pseudo-differential operators, Comm. Pure Appl. Math., 27, 1-24, 1974. Zbl0279.35071MR352747
4. [4] C.H. Ching - Pseudo-differential operators with non regular symboles, J. Diff. Eq., 11, 436-447, 1972. Zbl0248.35106MR296764
5. [5] M. Cotlar - A combinatotiat inequality and its application to L2 spaces, Rev. Math. Cuyana1, 41-55, 1955. Zbl0071.33301MR80263
6. [6] J.J. Duistermaat, L. Hörmander - Fourier integral operators II, Acta Math.128, 183-269, 1972. Zbl0232.47055MR388464
7. [7] J.V. Egorov - The canonical transformation of pseudo-differential operators, Uspehi Mat. Nauk, 24.5, 235-236, 1969. Zbl0191.43802MR265748
8. [8] J.V. Egorov - Subelliptic operators, Russian Math. Surveys30.2, 59-118 ; 30.3, 55-105, 1975. Zbl0331.35054MR410473
9. [9] C. Fefferman, D.H. Phong - On positivity of pseudo-differential operators, Proc. Natl. Ac. Sci. USA75, 4673-4674, 1978. Zbl0391.35062MR507931
10. [10] C. Feffeirman, D.H. Phong - On the lowest eigenvalue of a pseudo-differential operator, Proc. Natl. Ac. Sci. USA76, 6055-6056, 1979. Zbl0434.35071MR554888
11. [11] C. Fefferman, D.H. Phong - On the asymptotic eigenvalue distribution of a pseudo-differential operator, Proc. Natl. Ac. Sci. USA77, 5622-5625, 1980. Zbl0443.35082MR589278
12. [12] C. Fefferman, D.H. Phong - The uncertainty principle and sharp Gårding inequalities, Comm. Pure Appl. Math.34, 285-331, 1981. Zbl0458.35099MR611747
13. [13] C. Fefferman, D.H. Phong - Symplectic geometry and positivity of pseudo-differential operators, Proc. Natl. Ac. Sci. USA79, 710-713, 1982. Zbl0553.35089MR648064
14. [14] C. Fefferman - The uncertainty principle, Bull. Amer. Math. Soc.9, 129-206, 1983. Zbl0526.35080MR707957
15. [15] L. Hormander - The spectral function of an elliptic operator, Acta Math.121, 193-218, 1968. Zbl0164.13201MR609014
16. [16] L. Hörmander - Fourier integral operators I, Acta Math.127, 79-183 (1971). Zbl0212.46601MR388463
17. [17] L. Hörmander - The Cauchy problem for differential equations with multiple characteristics, J. Analyse Math.32, 118-196, 1977. Zbl0367.35054MR492751
18. [18] L. Hormander - The Weyl calculus of pseudo-differential operators, Comm. Pure Appl. Math.32, 359-443, 1979. Zbl0388.47032MR180740
19. [19] L. Hörmander - The analysis of linear partial differential operators, 4 volumes, Springer, 1985. 
20. [20] P.D. Lax, L. Nirenberg - On stability for difference schemes : a sharp form of Gårding's inequality, Comm. Pure Appl. Math.19, 473-492, 1966. Zbl0185.22801MR206534
21. [21] A. Melin - Lower bounds for pseudo-differential operators, Ark. Mat.9, 117-140, 1971. Zbl0211.17102MR328393
22. [22] L. Nirenberg, F. Treves - On local solvability of linear partial differential equations : I. Necessary conditions, II. Sufficient conditions, Comm. Pure Appl. Math.23, 1-38, 459-509, 1970. Zbl0208.35902MR264470
23. [23] I. Segal - Transforms for operators and symplectic automorphisms over a locally compact abelian group, Math. Scand.13, 31-43, 1963. Zbl0208.39002MR163183
24. [24] B. Simon - Functional integration and quantum physics, A. Press, 1979. Zbl0434.28013MR544188
25. [25] A. Unterberger - Quantification de certains espaces hermitiens symétriques, Séminaire Goulaouic - Schwartz1979-80, Exposé n° 16, Ecole Polytechnique Palaiseau, 1980. Zbl0448.46053MR600701
26. [26] H. Weyl - Gruppentheorie und Quantenmechanik, Verlag von S. Hirzel, Leipzig, 1928. JFM54.0954.03