Geodesic
On the canonical distribution of a class of Toeplitz operators on a locally compact Abelian group
Izvestiya. Mathematics, Tome 10 (1976) no. 5, pp. 1133-1142 
I. Yu. Linnik. On the canonical distribution of a class of Toeplitz operators on a locally compact Abelian group. Izvestiya. Mathematics, Tome 10 (1976) no. 5, pp. 1133-1142. http://geodesic.mathdoc.fr/item/IM2_1976_10_5_a9/
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     title = {On the canonical distribution of a~class of {Toeplitz} operators on a~locally compact {Abelian} group},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we obtain necessary and sufficient conditions for the class of Toeplitz operators associated with Hermitian matrix-valued summable functions on a locally compact Abelian group to have canonical distribution equal to the Haar measure. Bibliography: 8 titles.

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[2] Krieger H. A.,, “Toeplitz operators on locally compact abelian groups”, J. Math. and Mech., 14:3 (1965), 439–478 | MR | Zbl

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[4] Barladyan B. Kh., “Obobschenie teoremy Katsa, Merdoka i Segë na $N$-mernoe prostranstvo”, Problemy peredachi informatsii, 10:3 (1974), 62–69 | MR | Zbl

[5] Ryuel D., Statisticheskaya mekhanika. Strogie rezultaty, Mir, M., 1971

[6] Riss F., Sekefalvi-Nad B., Lektsii po funktsionalnomu analizu, IIL, M., 1954

[7] Linnik I. Yu., “Prostranstvennoe obobschenie odnoi teoremy o tëplitsevom operatore”, Matematicheskie zametki, 14:6 (1973), 895–900 | MR | Zbl

[8] Linnik I. Yu., “Prostranstvennoe obobschenie teoremy M. Katsa ob opredelitele tëplitseva operatora”, Dokl. AN SSSR, 217:5 (1974), 2011–2012 | MR