Semimartingales on duals of nuclear spaces
From MaRDI portal
Publication:2184595
DOI10.1214/20-EJP444zbMath1445.60037arXiv1902.03981MaRDI QIDQ2184595
Publication date: 29 May 2020
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.03981
Lévy processessemimartingalesregularization theoremdual of a nuclear spacecylindrical semimartingalessemimartingale canonical representation
Generalizations of martingales (60G48) Sample path properties (60G17) Generalized stochastic processes (60G20) Probability theory on linear topological spaces (60B11)
Related Items (3)
Lévy processes and infinitely divisible measures in the dual of a nuclear space ⋮ Regularization of cylindrical processes in locally convex spaces ⋮ Stochastic integration with respect to cylindrical semimartingales
Cites Work
- Cylindrical continuous martingales and stochastic integration in infinite dimensions
- Cylindrical fractional Brownian motion in Banach spaces
- Stochastic integration with respect to cylindrical Lévy processes
- Structural properties of semilinear SPDEs driven by cylindrical stable processes
- Generalized solutions of a class of nuclear-space-valued stochastic evolution equations
- Additive processes on nuclear spaces
- Convergence of \({\mathcal S}'\)-valued processes and space-time random fields
- Applications of integration by parts formula for infinite-dimensional semimartingales
- Stochastic evolution equations driven by nuclear-space-valued martingales
- Decompositions of semimartingales on \({\mathcal S}'\)
- Semimartingales: A course on stochastic processes
- Existence of continuous and càdlàg versions for cylindrical processes in the dual of a nuclear space
- Stable cylindrical Lévy processes and the stochastic Cauchy problem
- Diffusion approximation of nuclear space-valued stochastic differential equations driven by Poisson random measures
- Radonification of cylindrical semimartingales on Hilbert spaces
- Stochastic integration and stochastic PDEs driven by jumps on the dual of a nuclear space
- Ornstein-Uhlenbeck processes driven by cylindrical Lévy processes
- Cylindrical Lévy processes in Banach spaces
- ABSOLUTE CONTINUITY AND SINGULARITY OF LOCALLY ABSOLUTELY CONTINUOUS PROBABILITY DISTRIBUTIONS. I
- A characterization of semimartingales on nuclear spaces
- Gaussian and Non–Gaussian Distribution–Valued Ornstein–Uhlenbeck Processes
- [https://portal.mardi4nfdi.de/wiki/Publication:4194221 Espaces de semi martingales et changement de probabilit�]
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Semimartingales on duals of nuclear spaces