Pseudodifferential operators and symplectic capacity

Nicolas Lerner

Journées équations aux dérivées partielles (1990)

  • page 1-11
  • ISSN: 0752-0360

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Lerner, Nicolas. "Opérateurs pseudo-différentiels et capacités symplectiques." Journées équations aux dérivées partielles (1990): 1-11. <http://eudml.org/doc/93214>.

@article{Lerner1990,
author = {Lerner, Nicolas},
journal = {Journées équations aux dérivées partielles},
keywords = {lower bound; symbol; Schrödinger operator with magnetic potential},
language = {fre},
pages = {1-11},
publisher = {Ecole polytechnique},
title = {Opérateurs pseudo-différentiels et capacités symplectiques},
url = {http://eudml.org/doc/93214},
year = {1990},
}

TY - JOUR
AU - Lerner, Nicolas
TI - Opérateurs pseudo-différentiels et capacités symplectiques
JO - Journées équations aux dérivées partielles
PY - 1990
PB - Ecole polytechnique
SP - 1
EP - 11
LA - fre
KW - lower bound; symbol; Schrödinger operator with magnetic potential
UR - http://eudml.org/doc/93214
ER -

References

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  1. [1] Ekeland I. et H. Hofer : Symplectic topology and hamiltonian dynamics I, Math.Z.200 (1989) 355-378. Zbl0641.53035MR90a:58046
  2. [2] Fefferman C.L. : The uncertainty principle, Bull.AMS 9, 129-206, 1983. Zbl0526.35080MR85f:35001
  3. [3] Fefferman C.L. et D.H.Phong : The uncertainty principle and sharp Gårding inequalities, CPAM 34, 285-331, 1981. Zbl0458.35099MR82j:35140
  4. [4] Gromov, M. : Pseudo-holomorphic curves in symplectic manifolds, Invent. Math. 82(1985) 307-347. Zbl0592.53025MR87j:53053
  5. [5] Hörmander L. : The analysis of linear partial differential operators, 4 volumes, Berlin Heidelberg New-York Tokyo, Springer 1985. Zbl0601.35001
  6. [6] Lerner N. et J. Nourrigat : Lowerbounds for pseudo-differential operators, à paraître, Ann. Inst. Fourier. Zbl0703.35182
  7. [7] Sikorav J-C. : Communication personnelle. 
  8. [8] Sikorav J-C. : Rigidité symplectique dans le cotangent de Tn, Duke Math. Journ., 59, n°3, 1989, 759-763. Zbl0697.53035MR91e:58063
  9. [9] Viterbo C. : Capacités symplectiques et applications, Sem. Bourbaki, 88-89, 714, Astérisque 177-178, 1989, 345-362. Zbl0698.53019
  10. [10] Weinstein A. : Lectures on symplectic manifolds, CBMS, Reg.Conf.Ser.Math.29, AMS, Providence, 1977. Zbl0406.53031MR57 #4244

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