Gaussian measures on L\(_p\) spaces, \(1\leq p \leq \infty\)

DOI10.1016/0047-259X(72)90034-6zbMath0251.60004MaRDI QIDQ2557070

Balram S. Rajput

Publication date: 1972

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Gaussian processes (60G15) Probability measures on topological spaces (60B05) Zero-one laws (60F20)

Related Items (13)

Gaussian measures on Orlicz spaces and abstract Wiener spaces ⋮ On sample path properties of semistable processes ⋮ Functional marked point processes: a natural structure to unify spatio-temporal frameworks and to analyse dependent functional data ⋮ Tensor Gaussian measures on \(L^p(E)\) ⋮ Weak convergence of approximate solutions of random equations ⋮ PCA-based estimation for functional linear regression with functional responses ⋮ Correspondence between Gaussian measures and the Gaussian process ⋮ Equivalent Gaussian measure whose R-N derivative is the exponential of a diagonal form ⋮ Central limit problem on \(L_p\;(p\geq 2)\). II: Compactness of infinitely divisible laws ⋮ The central limit theorem for empirical and quantile processes in some Banach spaces ⋮ Representation of certain infinitely divisible probability measures on Banach spaces ⋮ Large deviations of the \(L^p\)-norm of a Wiener process with drift ⋮ On weak convergence of stochastic processes with Lusin path spaces

Cites Work

• On the representation of weakly continuous stochastic processes
• Some zero-one laws for Gaussian processes
• A Zero-One Law for Gaussian Processes
• Radon-Nikodym Derivatives of Gaussian Measures
• Equivalent Gaussian Measures with a Particularly Simple Radon-Nikodym Derivative
• Norm Convergent Expansions for Gaussian Processes in Banach Spaces
• Existence and Convergence of Probability Measures in Banach Spaces
• Zero-one laws for Gaussian processes
• Gaussian Processes and Gaussian Measures
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