Existence of continuous and càdlàg versions for cylindrical processes in the dual of a nuclear space

DOI10.1007/s10959-016-0726-0zbMath1405.60005arXiv1511.08443OpenAlexW3098056075MaRDI QIDQ1661587

Christian A. Fonseca-Mora

Publication date: 16 August 2018

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.08443

zbMATH Keywords

cylindrical martingalescontinuous and càdlàg versionscylindrical stochastic processesdual of a nuclear space

Mathematics Subject Classification ID

Sample path properties (60G17) Generalized stochastic processes (60G20) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Probability theory on linear topological spaces (60B11)

Related Items

Lévy processes and infinitely divisible measures in the dual of a nuclear space ⋮ Semimartingales on duals of nuclear spaces ⋮ Time regularity of stochastic convolutions and stochastic evolution equations in duals of nuclear spaces ⋮ Almost sure uniform convergence of stochastic processes in the dual of a nuclear space ⋮ Radonification of a cylindrical Lévy process ⋮ Tightness and weak convergence of probabilities on the Skorokhod space on the dual of a nuclear space and applications ⋮ Regularization of cylindrical processes in locally convex spaces ⋮ Modelling Lévy space‐time white noises ⋮ Stochastic integration and stochastic PDEs driven by jumps on the dual of a nuclear space ⋮ Stochastic integration with respect to cylindrical semimartingales

Cites Work

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