Pseudo-differential operators with positive symbols

C. Fefferman; D. H. Phong

Séminaire Équations aux dérivées partielles (Polytechnique) (1980-1981)

  • page 1-9

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Fefferman, C., and Phong, D. H.. "Pseudo-differential operators with positive symbols." Séminaire Équations aux dérivées partielles (Polytechnique) (1980-1981): 1-9. <http://eudml.org/doc/111784>.

@article{Fefferman1980-1981,
author = {Fefferman, C., Phong, D. H.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {positive symbol},
language = {eng},
pages = {1-9},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Pseudo-differential operators with positive symbols},
url = {http://eudml.org/doc/111784},
year = {1980-1981},
}

TY - JOUR
AU - Fefferman, C.
AU - Phong, D. H.
TI - Pseudo-differential operators with positive symbols
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1980-1981
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 9
LA - eng
KW - positive symbol
UR - http://eudml.org/doc/111784
ER -

References

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  1. [1] C. Fefferman and D.H. Phong: On positivity of pseudo-differential operators, Proc. Nat. Acad. Sci. USA, vol. 75, 1978, p. 4673-4674. Zbl0391.35062MR507931
  2. [2] C. Fefferman and D.H. Phong: The uncertainty principle and sharp Garding inequalities, Comm. Pure Appl. Math. Vol.34,1981,p.285-331. Zbl0458.35099MR611747
  3. [3] C. Fefferman and D.H. Phong: On the asymptotic eigenvalue distribution of a pseudo-differential operator, Proc. Nat. Acad. Sci. USA, vol. 77, 1980. Zbl0443.35082MR589278
  4. [4] C. Fefferman and D.H. Phong: To appear in Proceedings of conference on Harmonic Analysis, Chicago. Zbl0391.35062
  5. [5] L. Hörmander: Pseudo-differential operators and non-elliptic problems, Ann. of Math. Vol. 83, 1966, p. 129-209. Zbl0132.07402MR233064
  6. [6] L. Hörmander: The spectral function of an elliptic operator, Acta Math. Vol. 121, 1968, p. 193-218. Zbl0164.13201MR609014
  7. [7] L. Hörmander: The Weyl calculus of pseudo-differential operatorsComm. Pure Appl. Math. vol. 32, 1979, p. 359-443. Zbl0388.47032MR517939
  8. [8] P. Lax and L. Nirenberg: On stability of différence schemes ; a sharp form of Gårding's inequality, Comm. Pure Appl. Math. Vol. 19, 1966, p. 473-492. Zbl0185.22801MR206534
  9. [9] A. Melin: Lower bounds for pseudo-differential operators, Arkiv for Mat. Vol. 9, 1971, p. 117-140. Zbl0211.17102MR328393
  10. [10] A. Menikoff and J. Sjöstrand: On the eigenvalues of a class of hypoelliptic operators, Math. Ann.235 (1978), p. 55-85. Zbl0375.35014MR481627
  11. [11] G. Métivier: Fonctions spectrales et valeurs propres d'une classe d'opérateurs non elliptiques, Comm.P.D.E. Vol 1, 1976, p.467-519. Zbl0376.35012MR427858
  12. [12] A. Mohamed: Etude spectrale d'opérateurs hypoellipiptiques à caractéristiques multiples, to appear. Zbl0459.35097
  13. [13] A. Nagel, E.M. Stein, and S. Wainger: To appear. 
  14. [14] J. Sjöstrand: On the eigenvalues of a class of hypoelliptic operators, Annales Institut Fourier, Vol. 30, 1980, p. 109-169. Zbl0417.47024MR584275

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