Regularization of cylindrical processes in locally convex spaces

DOI10.1142/S0219025720500277zbMath1457.60006arXiv1905.11223MaRDI QIDQ5150267

Christian A. Fonseca-Mora

Publication date: 10 February 2021

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.11223

zbMATH Keywords

continuous and càdlàg versionscylindrical Lévy processcylindrical stochastic processgeneral locally convex spaceSazonov's topology

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Sample path properties (60G17) Generalized stochastic processes (60G20) Probability theory on linear topological spaces (60B11)

Related Items

Stochastic integration in Hilbert spaces with respect to cylindrical martingale-valued measures

Cites Work

• Invariant and quasi-invariant measures on infinite-dimensional spaces
• A theorem on properties of sample functions of a random field and generalized random fields
• La convergence en loi pour les processus à valeurs dans un espace nucléaire
• Sur les supports des processus à valeurs dans des espaces nucléaires. (On the supports of processes with values in nuclear spaces)
• Existence of continuous and càdlàg versions for cylindrical processes in the dual of a nuclear space
• Fonctions aléatoires à valeurs dans certains espaces nucléaires. (Random functions with values in certain nuclear spaces)
• On the sample continuity of S'-processes
• Radonification of cylindrical semimartingales on Hilbert spaces
• Lévy processes and infinitely divisible measures in the dual of a nuclear space
• Semimartingales on duals of nuclear spaces
• Stochastic integration and stochastic PDEs driven by jumps on the dual of a nuclear space
• Séminaire sur les fonctions aléatoires linéaires et les mesures cylindriques
• Cylindrical Lévy processes in Banach spaces
• Tightness and weak convergence of probabilities on the Skorokhod space on the dual of a nuclear space and applications
• MARTINGALES OF RANDOM DISTRIBUTIONS
• MEASURES ON LINEAR TOPOLOGICAL SPACES
• RADONIFICATION OF CYLINDRICAL SEMIMARTINGALES BY A SINGLE HILBERT–SCHMIDT OPERATOR
• Topological Vector Spaces and Their Applications
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