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In this paper we study the sequence {AN (a)}N∈N of finite truncations of a generalized discrete convolution operator, which have matrices of the form AN (a) ∼ ( a ( n E(N) , k E(N) , n− k ))

Finite Truncations of Generalized One-Dimensional Discrete Convolution Operators and Asymptotic Behavior of the Spectrum. The Matrix Case