On trace theorems for pseudo-differential operators

N. Lerner; D. Yafaev

Séminaire Équations aux dérivées partielles (Polytechnique) (1995-1996)

  • page 1-18

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Lerner, N., and Yafaev, D.. "On trace theorems for pseudo-differential operators." Séminaire Équations aux dérivées partielles (Polytechnique) (1995-1996): 1-18. <http://eudml.org/doc/112135>.

@article{Lerner1995-1996,
author = {Lerner, N., Yafaev, D.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {density bundle; polyhomogeneous pseudo-differential operators; Born approximation of the scattering matrix; higher order invariants; principal symbol; subprincipal symbol},
language = {eng},
pages = {1-18},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {On trace theorems for pseudo-differential operators},
url = {http://eudml.org/doc/112135},
year = {1995-1996},
}

TY - JOUR
AU - Lerner, N.
AU - Yafaev, D.
TI - On trace theorems for pseudo-differential operators
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1995-1996
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 18
LA - eng
KW - density bundle; polyhomogeneous pseudo-differential operators; Born approximation of the scattering matrix; higher order invariants; principal symbol; subprincipal symbol
UR - http://eudml.org/doc/112135
ER -

References

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  2. [BY2] M.S. Birman, D.R. Yafaev, Asymptotics of the spectrum of the scattering matrix, J. Soviet Math., 25, 1(1984). Zbl0531.35062
  3. [B] J.M. Bony, Second microlocalization and propagation of singularities for semi-linear hyperbolic equations, Hyperbolic Equations and related topics, Mizohata éd. Kinokunya, 11-49, (1986). Zbl0669.35073MR925240
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  5. [B1] L.Boutet de Monvel, Comportement d'un opérateur pseudo-différentiel sur une variété à bord, Journ. Anal. Math., 17, 241-304, (1966). Zbl0161.07902MR239254
  6. [B2] L.Boutet de Monvel, Boundary value problems for pseudo-differential operators, Acta Math., 126, 11-51,(1971). Zbl0206.39401MR407904
  7. [DL] J.M. Delort, G. Lebeau, Microfonctions lagrangiennes, J.Math.Pures.Appl., 9ème série, 67, 39-84, (1988). Zbl0659.46042MR932147
  8. [GK] I.C. Gohberg, M.G. Krein, Introduction à la théorie des opérateurs linéaires non autoadjoints dans un espace hilbertien, Dunod, Paris,(1971). MR350445
  9. [GH] G. Grubb, L. Hörmander, The transmission property, Math. Scand., 67, 2, 273-289, (1990). Zbl0766.35088MR1096462
  10. [He] B. Helffer, Invariants associés à une classe d'opérateurs pseudo-différentiels et applications à l'hypoellipticité, Ann. Inst. Fourier, 26, 2, (1976). Zbl0301.35026MR413199
  11. [H] L. Hörmander, The analysis of linear partial differential operators III, Springer-Verlag, (1985). Zbl0601.35001MR781536
  12. [Y1] D.R. Yafaev, Mathematical scattering theory, Transl. of Math. Monograph, 105, AMS, (1992). Zbl0761.47001MR1180965
  13. [Y2] D.R. Yafaev, Resolvent estimates and scattering matrix for N-particle hamiltonians, Int.Equ.Op.Th., 21, 1, 93-126, (1995). Zbl0823.47010MR1307053

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