Lower bounds for pseudo-differential operators
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1989-1990), Exposé no. 1, 8 p.
@article{SEDP_1989-1990____A1_0,
     author = {Lerner, N. and Nourrigat, J.},
     title = {Lower bounds for pseudo-differential operators},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:1},
     pages = {1--8},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     year = {1989-1990},
     zbl = {0729.35151},
     language = {en},
     url = {http://archive.numdam.org/item/SEDP_1989-1990____A1_0/}
}
TY  - JOUR
AU  - Lerner, N.
AU  - Nourrigat, J.
TI  - Lower bounds for pseudo-differential operators
JO  - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
N1  - talk:1
PY  - 1989-1990
SP  - 1
EP  - 8
PB  - Ecole Polytechnique, Centre de Mathématiques
UR  - http://archive.numdam.org/item/SEDP_1989-1990____A1_0/
LA  - en
ID  - SEDP_1989-1990____A1_0
ER  - 
%0 Journal Article
%A Lerner, N.
%A Nourrigat, J.
%T Lower bounds for pseudo-differential operators
%J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
%Z talk:1
%D 1989-1990
%P 1-8
%I Ecole Polytechnique, Centre de Mathématiques
%U http://archive.numdam.org/item/SEDP_1989-1990____A1_0/
%G en
%F SEDP_1989-1990____A1_0
Lerner, N.; Nourrigat, J. Lower bounds for pseudo-differential operators. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1989-1990), Exposé no. 1, 8 p. http://archive.numdam.org/item/SEDP_1989-1990____A1_0/

[1] A. Cordoba, C. Fefferman: Wave packets and Fourier integral operators, Comm. P.D.E., 3, 11, 1978, 979-1005. | MR | Zbl

[2] C. Fefferman: The uncertainty principle, Bull. AMS, 9, 129-206, 1983. | MR | Zbl

[3] C. Fefferman, D.H. Phong: On positivity of pseudo-differential operators Proc. Natl. Ac. Sc. USA 75, 4673-4674, 1978. | MR | Zbl

[4] C. Fefferman, D.H. Phong: On the lowest eigenvalue of a pseudo-differential operator, Proc. Natl. Ac. Sc. USA 76, 6055-6056, 1979. | MR | Zbl

[5] C. Fefferman, D.H. Phong: On the asymptotic eigenvalue distribution, Proc. Natl. Ac. Sc. USA 77, 5622-5625, 1980. | MR | Zbl

[6] C. Fefferman, D.H. Phong: The uncertainty principle and sharp Garding inequalities, CPAM, 34, 285-331, 1981. | MR | Zbl

[7] C. Fefferman, D.H. Phong: Symplectic geometry and positivity of pseudodifferential operators, Proc. Natl. Ac. Sc. USA 79, 710-713, 1982. | MR | Zbl

[8] B. Helffer, J. Nourrigat: Hypoellipticité maximale pour des opérateurs polynômes de champs de vecteurs, Progress in Math. 58, Birkhauser 1985. | MR | Zbl

[9] I. Herbst: Spectral theory of the operator (p2 + m2)1/2 - ze2/r, Comm. in Math. Phys. 53, 285-294, 1977; Errata ibidem 55, 316, 1977. | MR | Zbl

[10] L. Hörmander: Pseudo-differential operators and non-elliptic boundary problems, Ann. of Math, 83, 129-209, 1966. | MR | Zbl

[11] L. Hörmander: The Weyl calculus of pseudo-differential operators, CPAM, 32, 359-443, 1979. | MR | Zbl

[12] L. Hörmander: The analysis of linear partial differential operators, four volumes, Berlin, Springer 1985.

[13] P.D. Lax, L. Nirenberg: On stability for difference schemes: a sharp form of Garding's inequality, CPAM 19, 473-492, 1966. | MR | Zbl

[14] A. Melin, Lower bounds for pseudo-differential operators, Ark. Mat. 9, 117-140, 1971. | MR | Zbl

[15] A. Mohamed, J. Nourrigat: Encadrement du N(λ) pour un opérateur de Schrödinger avec des champs électromagnétiques, to appear J. Math. Pures Appl. | Zbl

[16] R. Weder: Spectral analysis of pseudo-differential operators, J. Funct. Anal. 20, 319-337, 1975. | MR | Zbl