Geodesic
Szegö Type Limit Theorems for Multidimensional Discrete Convolution Operators with Continuous Symbols
Funkcionalʹnyj analiz i ego priloženiâ, Tome 35 (2001) no. 1, pp. 91-93 Cet article a éte moissonné depuis la source Math-Net.Ru

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     author = {I. B. Simonenko},
     title = {Szeg\"o {Type} {Limit} {Theorems} for {Multidimensional} {Discrete} {Convolution} {Operators} with {Continuous} {Symbols}},
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I. B. Simonenko. Szegö Type Limit Theorems for Multidimensional Discrete Convolution Operators with Continuous Symbols. Funkcionalʹnyj analiz i ego priloženiâ, Tome 35 (2001) no. 1, pp. 91-93. http://geodesic.mathdoc.fr/item/FAA_2001_35_1_a11/

[1] Matematicheskaya entsiklopediya, T. 2, Sovetskaya entsiklopediya, M., 1979 | MR

[2] Szego G., “On certain Hermitian forms associated with the Fourier series of a positive function”, Comm. Sém. Math. Univ. Lund [Medd. Lunds Univ. Mat. Sem., 1952 (1952), 228–238 | MR | Zbl

[3] Grenander U., Segë G., Teplitsevy formy i ikh prilozheniya, IL, M., 1961

[4] Linnik I. Yu., “Mnogomernyi analog predelnoi teoremy G. Sege”, Izv. AN SSSR, ser. matem., 39:6 (1975), 1393–1403 | MR | Zbl

[5] Widom H., “A theorem on translation kernels in $n$ dimensions”, Trans. Amer. Math. Soc., 94:1 (1960), 170–180 | DOI | MR | Zbl

[6] Böttcher A., Silbermann B., Invertibility and Asymptotics of Toeplitz Matrices, Akademie-Verlag, Berlin, 1983 | MR