Spectral type of a polynomial of stationary Gaussian process
B. Lučić (1986)
Matematički Vesnik
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B. Lučić (1986)
Matematički Vesnik
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Z. Ivković (1974)
Matematički Vesnik
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A. Cassim, Zoran Ivković (1994)
Publications de l'Institut Mathématique
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Van Zanten, Harry (2008)
Electronic Communications in Probability [electronic only]
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Zagorodnyuk, S. M. (2011)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 15A29. In this paper we introduced a notion of the generalized spectral function for a matrix J = (gk,l)k,l = 0 Ґ, gk,l О C, such that gk,l = 0, if |k-l | > N; gk,k+N = 1, and gk,k-N № 0. Here N is a fixed positive integer. The direct and inverse spectral problems for such matrices are stated and solved. An integral representation for the generalized spectral function is obtained.
Mitrović, S. (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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Slobodanka S. Mitrović (2005)
Matematički Vesnik
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Vladimír Klega (1983)
Aplikace matematiky
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The irregularity coefficient is one of the numerical characteristics of the spectral bandwith of a stationary random process. Its basic properties are investigated and the application to the dichotomic classification of a process into narrow-band and wide-band ones is given. Further, its behaviour is analyzed for sufficiently wide classes of stationary processes whose spectral densities frequently appear both in theory and applications.
Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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J.A.C. Weidemann (1992)
Numerische Mathematik
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