Local functionals on \(C_\infty\)(G) and probability

DOI10.1016/0022-1236(80)90017-8zbMath0489.46019OpenAlexW2095639661MaRDI QIDQ1166752

M. M. Rao

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90017-8

zbMATH Keywords

amenable groupspace of Schwartz distributionsRiesz-Markov theoremBanach spaces of vector valued functionsbounded uniform continuitycharacteristic functionals of generalized random processesintegral representation theorems for local functionalsinvariant positive linear map with constant functions as fixed points

Mathematics Subject Classification ID

Generalized stochastic processes (60G20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (1)

The life and work of M. M. Rao

Cites Work

• A Radon-Nikodym type theorem for functionals
• Additive functionals
• A representation theorem for additive functionals
• Prolongement des mesures de Radon
• On liftings and derivation bases
• Positive definite kernels, continuous tensor products, and central limit theorems of probability theory
• Means on Semigroups and the Hahn-Banach Extension Property
• On Additive Functionals
• Characterization of Non-Linear Transformations Possessing Kernels
• Local functionals and generalized random fields
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