This article is cited in 47 papers

On asymptotic distribution of eigenvalues of pseudodifferential operators in $\mathbf R^n$

V. N. Tulovskii, M. A. Shubin


Abstract: This paper is devoted to the study of asymptotic behavior of eigenvalues of a pseudodifferential operator in $\mathbf R^n$. With certain conditions imposed on the symbol of the operator, the asymptotics of the eigenvalues, with remainder, is obtained.
Bibliography: 10 titles.

UDC: 517.43

MSC: 35P20, 35S99, 47G05

Received: 06.03.1973

 English version: Mathematics of the USSR-Sbornik, 1973, 21:4, 565–583

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