Limit theorems for Markov processes on topological groups
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- by S. R. Foguel PDF
- Trans. Amer. Math. Soc. 124 (1966), 323-333 Request permission
Abstract:
Limit theorems for ${P^n}(x,A)$, as $n \to \infty$, are established, where $P(x,A)$ is the transition probability of a Markov process on a topological group. The transition probability is assumed to satisfy certain commutativity relations with translations. Thus special cases of our investigation are spatially homogenous processes and processes induced by automorphisms of the group.References
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N. Dunford and J. T. Schwartz, Linear operators, Interscience, New York, 1958.
- Shaul R. Foguel, Powers of a contraction in Hilbert space, Pacific J. Math. 13 (1963), 551–562. MR 163170
- S. R. Foguel, An $L_{p}$ theory for a Markov process with a sub-invariant measure, Proc. Amer. Math. Soc. 16 (1965), 398–406. MR 176523, DOI 10.1090/S0002-9939-1965-0176523-9
- S. R. Foguel, Invariant subspaces of a measure preserving transformation, Israel J. Math. 2 (1964), 198–200. MR 178357, DOI 10.1007/BF02759944
- Walter Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Applied Mathematics, No. 12, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0152834
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 124 (1966), 323-333
- MSC: Primary 60.65; Secondary 60.08
- DOI: https://doi.org/10.1090/S0002-9947-1966-0199876-X
- MathSciNet review: 0199876