Geodesic
On asymptotic distribution of eigenvalues of pseudodifferential operators in $\mathbf R^n$
Sbornik. Mathematics, Tome 21 (1973) no. 4, pp. 565-583 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {On~asymptotic distribution of eigenvalues of pseudodifferential operators in~$\mathbf R^n$},
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V. N. Tulovskii; M. A. Shubin. On asymptotic distribution of eigenvalues of pseudodifferential operators in $\mathbf R^n$. Sbornik. Mathematics, Tome 21 (1973) no. 4, pp. 565-583. http://geodesic.mathdoc.fr/item/SM_1973_21_4_a6/

[1] F. A. Berezin, “Vikovskie i antivikovskie simvoly operatorov”, Matem. sb., 86 (108) (1971), 578–610 | MR

[2] M. Sh. Birman, V. V. Borzov, “Ob asimptotike diskretnogo spektra nekotorykh singulyarnykh differentsialnykh operatorov”, Problemy matematicheskoi fiziki, izd-vo LGU, Leningrad, 1971, 24–37 | MR

[3] A. G. Kostyuchenko, Doktorskaya dissertatsiya, MGU, Moskva, 1966

[4] G. V. Rozenblyum, “Raspredelenie diskretnogo spektra singulyarnykh differentsialnykh operatorov”, DAN SSSR, 202:5 (1972), 1012–1015

[5] V. L. Roitburd, “O predstavlenii resheniya zadachi Koshi v vide kontinualnogo integrala”, DAN SSSR, 201:3 (1971), 545–547 | MR | Zbl

[6] S. A. Smagin, “Dzeta-funktsiya gipoellipticheskogo operatora v $\mathbf{R}^n$”, DAN SSSR, 209:5 (1973), 1033–1036 | MR

[7] Yu. N. Sudarev, “Ob asimptoticheskom raspredelenii sobstvennykh znachenii ellipticheskikh operatorov v $n$-mernom prostranstve”, Diff. uravneniya, 3:8 (1967), 1364–1374 | MR | Zbl

[8] M. A. Shubin, “Psevdodifferentsialnye operatory v $\mathbf{R}^n$”, DAN SSSR, 196:2 (1971), 316–319 | Zbl

[9] M. A. Shubin, “O nekotorykh svoistvakh psevdodifferentsialnykh operatorov s negladkimi simvolami”, DAN SSSR, 207:3 (1972), 47–49

[10] N. Nilsson, “Asymptotic estimates for spectral functions connected with hypoelliptic differential operators”, Ark. Math., 5:6 (1965), 527–540 | DOI | MR | Zbl