The spectral representation of stable processes: Harmonizability and regularity

DOI10.1007/BF01377623zbMath0673.60041OpenAlexW2022865238MaRDI QIDQ1120897

Andrzej Makagon, Vidyadhar Mandrekar

Publication date: 1990

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01377623

zbMATH Keywords

moving average processesCramér-Wold decompositionstrongly harmonizable symmetric \(\alpha\)-stable processes

Mathematics Subject Classification ID

General second-order stochastic processes (60G12)

Related Items

Stable mixed moving averages, Stable processes: Moving averages versus Fourier transforms, On some extremal problems in \(H^p\) and the prediction of \(L^p\)-harmonizable stochastic processes, Spectral representation of multivariate regularly varying Lévy and CARMA processes, Harmonizable stable fields: Regularity and Wold-type decompositions, Density in L2(Γ,μ) of Certain Families of Functions on LCA Groups Related to the Multi-Channel Sampling Problem, A characterization theorem for stable random measures, Spectral density estimation for symmetric stable p-adic processes, Local time for stable moving average processes: Hölder conditions, On the spectrum of correlation autoregressive sequences, Decomposition of discrete time periodically correlated and multivariate stationary symmetric stable processes

Cites Work

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• Ergodic properties of stationary stable processes
• On the spectral representation of symmetric stable processes
• Spectral theory for infinitesimal generators of one-parameter groups of isometries: The min-max principle and compact perturbations
• Multipliers of type (p, q)
• Eine Erweiterung des Funktionalkalküls für lineare Operatoren
• Prediction of stable processes: Spectral and moving average representations
• Harmonizable stable processes on groups: spectral, ergodic and interpolation properties
• Linear Problems in Linear Problems inpth Order and Stable Processes
• Harmonizable stable processes
• Fourier Analysis of Sub-Stationary Processes with a Finite Moment
• Characterization of Fourier-Stieltjes transforms of vector and operator valued measures
• Some Structure Theorems for the Symmetric Stable Laws