On uniqueness of the spectral representation of stable processes

DOI10.1007/BF02213572zbMath0805.60030MaRDI QIDQ1332406

Jan Rosiński

Publication date: 29 January 1995

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

stationary processesstable processspectral representations

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) General second-order stochastic processes (60G12)

Related Items (7)

Decomposition of stationary \(\alpha\)-stable random fields. ⋮ Stable random fields, Patterson-Sullivan measures and extremal cocycle growth ⋮ Maxima of stable random fields, nonsingular actions and finitely generated abelian groups: a survey ⋮ On the structure and representations of max-stable processes ⋮ Stable random fields indexed by finitely generated free groups ⋮ Nonparametric estimation of the kernel function of symmetric stable moving average random functions ⋮ Decomposition of discrete time periodically correlated and multivariate stationary symmetric stable processes

Cites Work

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• Integral invariants of functions and \(L^ p \)isometries on groups
• On the spectral representation of symmetric stable processes
• Stable mixed moving averages
• The L p Norm of Sums of Translates of a Function
• Survey of Measurable Selection Theorems
• A representation theorem for symmetric stable processes and stable measures on H

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