On the norm continuity of -valued Gaussian processes

DOI10.1017/S0027763000019358zbMath0452.60044OpenAlexW1483664536MaRDI QIDQ3899248

Itaru Mitoma

Publication date: 1981

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000019358

zbMATH Keywords

Gaussian processadditive processnuclear Frechet spacecategory theorem

Mathematics Subject Classification ID

Gaussian processes (60G15) Sample path properties (60G17)

Related Items (13)

Limit theorems for supercritical branching random fields with immigration ⋮ Stochastic evolution equations driven by nuclear-space-valued martingales ⋮ The demographic variation process of branching random fields ⋮ Self-intersection local time for Gaussian \({\mathcal S}'(\mathbb{R} ^ d)\)-processes: Existence, path continuity and examples ⋮ Markov properties of the fluctuation limit of a particle system ⋮ Markov properties of the fluctuation limit of a particle system with death ⋮ Fluctuation limits of multitype branching random fields ⋮ Self-intersection local time of order \(k\) for Gaussian processes in \({\mathcal S}^ \prime (\mathbb R^ {d})\). ⋮ Limit Theorems for Supercritical Branching Random Fields ⋮ Generalized solutions of a class of nuclear-space-valued stochastic evolution equations ⋮ Generalized Ornstein-Uhlenbeck process having a characteristic operator with polynomial coefficients ⋮ An \(\infty\)-dimensional inhomogeneous Langevin's equation ⋮ Continuity of stochastic processes with values in the dual of a nuclear space

Cites Work

• Some results of probability measures on linear topological vector spaces with an application to Strassen's log log law
• The sizes of compact subsets of Hilbert space and continuity of Gaussian processes

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