Literature Cited
L. Hörmander, "The spectral function of an elliptic operator," Acta Math.,121, 193–218 (1969).
V. N. Tulovskii and M. A. Shubin, "The asymptotic distribution of the eigenvalues of pseudodifferential operators in Rn," Mat. Sb.,92, 571–588 (1973).
V. I. Feigin, "The asymptotic distribution of eigenvalues for hypoelliptic systems in Rn," Mat. Sb.,99, No. 4, 594–614 (1976).
L. Hörmander, "On the asymptotic distribution of the eigenvalues of pseudodifferential operators in Rn," Ark. Math.,17, No. 2, 297–313 (1979).
D. Robert, "Propriétés spectrales d'opérateurs pseudo-différentiels," Commun. Partial Diff. Equations,3, No. 9, 755–826 (1978).
B. Helffer and D. Robert, "Comportement asymptotique précise du spectre d' operateurs globalement élliptiques dans Rn," C. R. Acad. Sci.,292, No. 6, 363–366 (1981).
Additional information
All-Union Scientific-Research Institute for the Economics of Gas Industry. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 16, No. 3, pp. 88–89, July–September, 1982.
Rights and permissions
About this article
Cite this article
Feigin, V.I. Sharp estimates of the remainder in the spectral asymptotic for pseudodifferential operators in Rn . Funct Anal Its Appl 16, 233–235 (1982). https://doi.org/10.1007/BF01081609
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01081609