Characteristic properties of distributions associated with the wave group

Dimitri G. Vassiliev

Journées équations aux dérivées partielles (1992)

  • page 1-14
  • ISSN: 0752-0360

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Vassiliev, Dimitri G.. "Characteristic properties of distributions associated with the wave group." Journées équations aux dérivées partielles (1992): 1-14. <http://eudml.org/doc/93246>.

@article{Vassiliev1992,
author = {Vassiliev, Dimitri G.},
journal = {Journées équations aux dérivées partielles},
keywords = {regularly elliptic boundary conditions; two-term spectral asymptotics},
language = {eng},
pages = {1-14},
publisher = {Ecole polytechnique},
title = {Characteristic properties of distributions associated with the wave group},
url = {http://eudml.org/doc/93246},
year = {1992},
}

TY - JOUR
AU - Vassiliev, Dimitri G.
TI - Characteristic properties of distributions associated with the wave group
JO - Journées équations aux dérivées partielles
PY - 1992
PB - Ecole polytechnique
SP - 1
EP - 14
LA - eng
KW - regularly elliptic boundary conditions; two-term spectral asymptotics
UR - http://eudml.org/doc/93246
ER -

References

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  1. 1. J. L. Lions and E. Magenes, Problèmes aux limites non homogènes et applications, vol. 1, Dunod, Paris, 1968 ; English transl., Springer-Verlag, Berlin and New York, 1972. Zbl0165.10801
  2. 2. J. J. Duistermaat and V. W. Guillemin, The spectrum of positive elliptic operators and periodic bicharacteristics, Invent. Math. 29 (1975), 39-79. Zbl0307.35071MR53 #9307
  3. 3. V. Ya. Ivriľ, On the second term of the spectral asymptotics for the Laplace-Beltrami operator on manifolds with boundary, Funktsional. Anal. i Prilozhen. 14 (1980), no. 2, 25-34; English transl. in Functional Anal. Appl. 14 (1980), 98-106. Zbl0453.35068
  4. 4. Victor Ivriľ, Precise spectral asymptotics for elliptic operators acting in fiberings over manifolds with boundary, Lecture Notes in Math., vol. 1100, Springer-Verlag, Berlin and New York, 1984. Zbl0565.35002MR86h:58139
  5. 5. R. Melrose, Weyl's conjecture for manifolds with concave boundary, Proc. Sympos. Pure Math., vol. 36, Amer. Math. Soc., Providence, R.I., 1980, pp. 257-273. Zbl0436.58024MR82b:58101
  6. 6. D. G. Vasil'ev, Binomial asymptotics of the spectrum of a boundary value problem, Funktsional. Anal. i Prilozhen. 17 (1983), no. 4, 79-81; English transl. in Functional Anal. Appl. 17 (1984), 309-311. Zbl0583.35082
  7. 7. D. G. Vasil'ev, Two-term asymptotics of the spectrum of a boundary value problem under an interior reflection of general form, Funktsional. Anal. i Prilozhen. 18 (1984), no. 1, 1-13; English transl. in Functional Anal. Appl. 18 (1984), 267-277. Zbl0574.35032
  8. 8. D. G. Vasil'ev, Asymptotics of the spectrum of a boundary value problem, Trudy Moskov. Mat. Obshch. 49 (1986), 167-237; English transl. in Trans. Moscow Math. Soc. (1987), 173-245. Zbl0632.58036MR87k:35192
  9. 9. L. Schwartz, Théorie des distributions, Hermann, Paris, 1966. Zbl0149.09501MR35 #730
  10. 10. Lars Hörmander, The analysis of linear partial differential operators, vol. 1, Springer-Verlag, Berlin and New York, 1983. Zbl0521.35002
  11. 11. M. A. Shubin, Pseudodifferential operators and spectral theory, «Nauka», Moscow, 1980; English transl., Springer-Verlag, Berlin and New York, 1986. 

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