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The invariant and quasi-invariant transformations of the stable Lévy processes

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Publication:996766
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DOI10.1007/s10440-007-9125-yzbMath1155.28303OpenAlexW2053295818MaRDI QIDQ996766

Nataliya V. Smorodina

Publication date: 19 July 2007

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-007-9125-y


zbMATH Keywords

Poisson measureLévy processAbsolute continuityGroup of transformationsInvariant transformationQuasi-invariant transformationSpace of configurations


Mathematics Subject Classification ID

Stochastic integrals (60H05) Random measures (60G57) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)


Related Items

A distributional approach to multiple stochastic integrals and transformations of the Poisson measure. II



Cites Work

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  • Absolute continuity of Poisson random fields
  • Quasi-invariance of the gamma process and multiplicative properties of the Poisson-Dirichlet measures
  • The inner product of path space measures corresponding to random processes with independent increments
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