The spectral distribution of a globally elliptic operator

Fernando Cardoso; Ramon Mendoza

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1987)

  • Volume: 14, Issue: 1, page 143-163
  • ISSN: 0391-173X

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Cardoso, Fernando, and Mendoza, Ramon. "The spectral distribution of a globally elliptic operator." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 14.1 (1987): 143-163. <http://eudml.org/doc/83996>.

@article{Cardoso1987,
author = {Cardoso, Fernando, Mendoza, Ramon},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {spectral distribution; harmonic oscillator; self-adjoint; positive globally elliptic; pseudodifferential operators; order two},
language = {eng},
number = {1},
pages = {143-163},
publisher = {Scuola normale superiore},
title = {The spectral distribution of a globally elliptic operator},
url = {http://eudml.org/doc/83996},
volume = {14},
year = {1987},
}

TY - JOUR
AU - Cardoso, Fernando
AU - Mendoza, Ramon
TI - The spectral distribution of a globally elliptic operator
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1987
PB - Scuola normale superiore
VL - 14
IS - 1
SP - 143
EP - 163
LA - eng
KW - spectral distribution; harmonic oscillator; self-adjoint; positive globally elliptic; pseudodifferential operators; order two
UR - http://eudml.org/doc/83996
ER -

References

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  8. [8] J.J. Duistermaat - V.W. Guillemin, The spectrum of positive elliptic operators and periodic bicharacteristics, Invent. Math.29, (1975) pp. 39-79. Zbl0307.35071MR405514
  9. [9] V.W. Guillemin - S. Sternberg, The metaplectic représentation, Weyl operators and spectral theory, J. Funct. Anal.42, (1981) pp. 129-225. Zbl0469.58017MR624366
  10. [10] B. Helffer, Théorie spectrale pour des opérateurs globalement elliptiques, Notas de Curso n° 19, Universidade Federal de Pernambuco (1981).See also Astérisque, 112 (1984). Zbl0541.35002MR743094
  11. [11] B. Helffer - D. Robert, Propriétés asymptotiques du spectre d'opérateurs pseudodifferentiels sur R n, Comm. in Partial Differential Equations7, (1982) pp. 795-882. Zbl0501.35081MR662451
  12. [12] L. Hörmander, Fourier integral operators I, Acta Math.127, (1971) pp. 79-183. Zbl0212.46601MR388463
  13. [13] L. Hörmander, The Weyl calculus of pseudodifferential operators, Comm. Pure Appl. Math.32, (1979) pp. 359-443. Zbl0388.47032MR517939
  14. [14] F. Treves, Introduction to pseudodifferential and Fourier integral operators, Plenum Press, Vol. 2 (1980). Zbl0453.47027MR597145

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