Approximate martingale characterization of Wiener processes on locally compact Abelian groups

DOI10.1007/BF02570856zbMath0736.60006MaRDI QIDQ811547

Michael S. Bingham

Publication date: 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174384

zbMATH Keywords

Wiener processlocally compact Abelian groupapproximate martingale conditionlocal martingale conditions

Mathematics Subject Classification ID

Brownian motion (60J65) Martingales with continuous parameter (60G44) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

• A central limit theorem for approximate martingale arrays with values in a locally compact Abelian group
• Functional central limit theorems for approximate martingale arrays in a locally compact Abelian group
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