Some remarks on the Weyl asymptotics by the approximate spectral projection method

Ernesto Buzano

Bollettino dell'Unione Matematica Italiana (2000)

  • Volume: 3-B, Issue: 3, page 775-792
  • ISSN: 0392-4041

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Buzano, Ernesto. "Some remarks on the Weyl asymptotics by the approximate spectral projection method." Bollettino dell'Unione Matematica Italiana 3-B.3 (2000): 775-792. <http://eudml.org/doc/195116>.

@article{Buzano2000,
author = {Buzano, Ernesto},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {asymptotic distribution of eigenvalues; approximate spectral projection method; elliptic operator; Schrödinger operator},
language = {eng},
month = {10},
number = {3},
pages = {775-792},
publisher = {Unione Matematica Italiana},
title = {Some remarks on the Weyl asymptotics by the approximate spectral projection method},
url = {http://eudml.org/doc/195116},
volume = {3-B},
year = {2000},
}

TY - JOUR
AU - Buzano, Ernesto
TI - Some remarks on the Weyl asymptotics by the approximate spectral projection method
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/10//
PB - Unione Matematica Italiana
VL - 3-B
IS - 3
SP - 775
EP - 792
LA - eng
KW - asymptotic distribution of eigenvalues; approximate spectral projection method; elliptic operator; Schrödinger operator
UR - http://eudml.org/doc/195116
ER -

References

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  1. BOGGIATTO, P. and BUZANO, E., Spectral asymptotics for multi-quasi-elliptic operators in R n , Ann. Scuola Norm. Sup. Pisa, Cl. Sci., 24 (4) (1997), no. 3, 511-536. Zbl0897.35056MR1612397
  2. BOGGIATTO, P.- BUZANO, E.- RODINO, L., Global hypoellipticity and spectral theory, Mathematical Research, vol. 92, Akademie Verlag, Berlin, 1996. Zbl0878.35001MR1435282
  3. DENCKER, N., The Weyl calculus with locally temperate metrics and weights, Arkiv for Mat., 24 (1986), 59-79. Zbl0621.47045MR852826
  4. FEĬGIN, V. I., Asymptotic distribution of eigenvalues for hypoelliptic systems in R n , Math. USSR Sbornik28 (1976), no. 4, 533-552. Zbl0381.35063
  5. FEĬGIN, V. I., New classes of pseudodifferential operators in R n and some applications, Trans. Moscow Math. Soc., 36 (1979), no. 2, 153-195. Zbl0421.35083
  6. NILSSON, N., Asymptotic estimates for spectral functions connected with hypoelliptic differential operators, Arkiv for Mat.5 (1965), 527-540. Zbl0144.36302MR218931
  7. ROZENBLJUM, G. V., Asymptotics of the eigenvalues of the Schrodinger operator, Math. USSR Sbornik22 (1974), no. 3, 349-371. Zbl0304.35070
  8. SHUBIN, M. A., Pseudodifferential operators and spectral theory, Springer-Verlag, Berlin, 1987. Zbl0616.47040MR883081
  9. TULOVSKIĬ, V. N. and SHUBIN, M. A., On the asymptotic distribution of eigenvalues of pseudodifferential operators in R n , Math. USSR Sbornik21 (1973), no. 4, 565-583. Zbl0295.35068

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