On Covariance Of Spectral Estimates Of Stationary Random Sequence
Pavle Mladenović (1991)
Publications de l'Institut Mathématique
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Pavle Mladenović (1991)
Publications de l'Institut Mathématique
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Gabriela Dinescu (1984)
Czechoslovak Mathematical Journal
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Mladenović, Pavle (1995)
Matematichki 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.
Leonenko, N.N., Anh, V.V. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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Eberhard Kaniuth (2010)
Studia Mathematica
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Let G be a locally compact group, K a compact subgroup of G and A(G/K) the Fourier algebra of the coset space G/K. Applying results from [E. Kaniuth, Weak spectral synthesis in commutative Banach algebras, J. Funct. Anal. 254 (2008), 987-1002], we establish injection and localization theorems relating weak spectral sets and weak Ditkin sets for A(G/K) to such sets for A(H/H ∩ K), where H is a closed subgroup of G. We also prove some results towards the analogue of Malliavin's theorem...