Conjoint spectral asymptotics for the families of commuting operators and for operators with the periodic hamiltonian flow

Victor Ivrii

Séminaire Équations aux dérivées partielles (Polytechnique) (1991-1992)

  • page 1-11

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Ivrii, Victor. "Conjoint spectral asymptotics for the families of commuting operators and for operators with the periodic hamiltonian flow." Séminaire Équations aux dérivées partielles (Polytechnique) (1991-1992): 1-11. <http://eudml.org/doc/112032>.

@article{Ivrii1991-1992,
author = {Ivrii, Victor},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {periodic flow; pseudodifferential operators; critical values; joint spectrum; spectral properties of Hamiltonians},
language = {eng},
pages = {1-11},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Conjoint spectral asymptotics for the families of commuting operators and for operators with the periodic hamiltonian flow},
url = {http://eudml.org/doc/112032},
year = {1991-1992},
}

TY - JOUR
AU - Ivrii, Victor
TI - Conjoint spectral asymptotics for the families of commuting operators and for operators with the periodic hamiltonian flow
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1991-1992
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 11
LA - eng
KW - periodic flow; pseudodifferential operators; critical values; joint spectrum; spectral properties of Hamiltonians
UR - http://eudml.org/doc/112032
ER -

References

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  1. [1] V. Ivrii.Semiclassical microlocal analysis and precise spectral asymptotics. Preprint 1. Ecole Polytechnique, Preprint M964.1190, November 1990. Zbl0906.35003
  2. [2] V. Ivrii.Semiclassical microlocal analysis and precise spectral asymptotics. Preprint 2. Ecole Polytechnique, Preprint M969.0191, January 1991 Zbl0906.35003
  3. [3] V. Ivrii.Semiclassical microlocal analysis and precise spectral asymptotics. Preprint 3. Ecole Polytechnique, Preprint M971.0291, February 1991. Zbl0906.35003
  4. [4] V. Ivrii.Semiclassical microlocal analysis and precise spectral asymptotics. Preprint 6. Ecole Polytechnique, Preprint M1018.1091, October 1991. Zbl0906.35003
  5. [5] V. Ivrii.Semiclassical spectral asymptotics. Summer School on Semiclassical Analysis, Nantes, June, 1991. To appear in Asterisque. Zbl0839.35092MR1205176
  6. [6] Y. Colin de Verdiere.Sur les spectres des opérateurs elliptiques á bicaractéristiques toutes périodiques, Comment. math. helv., 54, no 3,p.508-522, (1979) and references here. Zbl0459.58014MR543346
  7. [7] Y. Colin de Verdiere.Spectre conjoint d'opérateurs qui commutent. Math. Z., 171, p.51-73, (1980) and references here. Zbl0478.35073MR566483
  8. [8] A.-M. Charbonnel.Comportement semi-classique du spectre conjoint d'opérateurs pseudodifferentiels qui commutent. Asympt. Anal.1, p.227-261 (1988) and references here. Zbl0665.35080MR962310
  9. [8] V.V. Guillemin, S. Sternberg.On the spectra of commuting pseudodifferential operators. Lect. Notes Pure Appl. Math., 48, p.149-165 (1985). Zbl0502.58036
  10. [9] A. Weinstein.Asymptotics of the eigenvalues; clusters for Laplacian plus a potential. Duke Math. J., 44, p.883-892 (1977). Zbl0385.58013MR482878

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