Geodesic
Spectral properties of generalized Toeplitz matrices
Sbornik. Mathematics, Tome 24 (1974) no. 2, pp. 299-317

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The asymptotic behavior of $N_n(\lambda)$, the number of eigenvalues less than $\lambda$, as $n\to\infty$ is found for a sequence of generalized Toeplitz operators $A_n$, along with the asymptotic behavior of $\operatorname{det}A_n$. It is shown that both asymptotic formulas are quasiclassical and connected with the quantization of classical mechanics whose phase spaces are products of two-dimensional spheres. Bibliography: 12 titles. 
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     author = {F. A. Berezin},
     title = {Spectral properties of generalized {Toeplitz} matrices},
     journal = {Sbornik. Mathematics},
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     volume = {24},
     number = {2},
     year = {1974},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1974_24_2_a6/}
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F. A. Berezin. Spectral properties of generalized Toeplitz matrices. Sbornik. Mathematics, Tome 24 (1974) no. 2, pp. 299-317. http://geodesic.mathdoc.fr/item/SM_1974_24_2_a6/