A distributional approach to multiple stochastic integrals and transformations of the Poisson measure
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Publication:851998
DOI10.1007/s10440-006-9062-1zbMath1107.28010OpenAlexW4252245453MaRDI QIDQ851998
Nataliya V. Smorodina, Sergio A. Albeverio
Publication date: 27 November 2006
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: http://doc.rero.ch/record/311248/files/10440_2006_Article_9062.pdf
Stochastic integrals (60H05) Random measures (60G57) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)
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Cites Work
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- Absolute continuity of Poisson random fields
- Absolute continuity in infinite dimensions and anticipating stochastic calculus
- Analysis and geometry on configuration spaces
- Analysis and geometry on configuration spaces: the Gibbsian case
- Girsanov theorem for anticipative shifts on Poisson space
- REPRESENTATIONS OF THE GROUP OF DIFFEOMORPHISMS
- Analysis on Poisson and Gamma Spaces
- An Asymptotic Expansion of the Distribution of a Homogeneous Functional of a Strictly Stable Vector
- QUASI-INVARIANCE FORMULAS FOR COMPONENTS OF QUANTUM LÉVY PROCESSES
- Random integrals of Banach space valued functions