Weak convergence of probability measures in the spaces of continuously differentiable functions

DOI10.1007/BF00971248zbMath0842.46026OpenAlexW2028723634MaRDI QIDQ1903851

Yanyan Li

Publication date: 16 January 1996

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

Full work available at URL: https://doi.org/10.1007/bf00971248

zbMATH Keywords

central limit theoremspectral conditionsweak convergence of probability measuresspaces of continuously differentiable functionsrelative compactness for a sequence of homogeneous fields

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Measures and integration on abstract linear spaces (46G12) Spaces of measures (46E27)

Related Items (5)

Convergence of numerical spectral models of the sea surface undulation ⋮ Nodal set of monochromatic waves satisfying the random wave model ⋮ The expected nodal volume of non-Gaussian random band-limited functions, and their doubling index ⋮ On the universality of the Nazarov-Sodin constant ⋮ Measures on topological spaces

Cites Work

• Central limit theorems for C(S)-valued random variables
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Weak convergence of probability measures in the spaces of continuously differentiable functions