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Wiener functionals and probability limit theorems. II: Term-wise multiplication and its applications

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Publication:1113171
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DOI10.14492/hokmj/1381518236zbMath0661.60036OpenAlexW2073402844MaRDI QIDQ1113171

Gisiro Maruyama

Publication date: 1986

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1381518236


zbMATH Keywords

weak convergencespectral densitiesTauberian type theoremmultiple Itô integral


Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Central limit and other weak theorems (60F05) Stochastic integrals (60H05) Functional limit theorems; invariance principles (60F17)


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Necessary conditions for nonlinear functionals of Gaussian processes to satisfy central limit theorems



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