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

I. B. Simonenko | Zendy; Olga Nikolaievna Zabroda | Zendy

Open Access

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

Author(s) -

I. B. Simonenko,

Olga Nikolaievna Zabroda

Publication year - 2005

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1239

Subject(s) - convolution (computer science) , spectrum (functional analysis) , mathematics , pure mathematics , circular convolution , matrix (chemical analysis) , overlap–add method , convolution power , algebra over a field , mathematical analysis , physics , fourier transform , fourier analysis , computer science , quantum mechanics , fractional fourier transform , materials science , machine learning , artificial neural network , composite material

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 ))

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