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Johnson, Russell A.

Disintegration measures on compact group extensions. (English) Zbl 0451.28004

Z. Wahrscheinlichkeitstheor. Verw. Geb. 53, 271-281 (1980).
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Cited in 5 Documents

MSC:

28A50 Integration and disintegration of measures
28D99 Measure-theoretic ergodic theory
60B15 Probability measures on groups or semigroups, Fourier transforms, factorization

Keywords:

compact group extension; bitransformation group; ergodic measure; strict Baire disintegration; Baire measurable mapping

Citations:

Zbl 0377.28006
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Full Text: DOI

References:

[1] Bourbaki, N., Integration (1965), Paris: Hermann, Paris · Zbl 0136.03404
[2] Bourbaki, N., Integration (1967), Paris: Hermann, Paris · Zbl 0143.27101
[3] Choksi, J.R., Duncan, R.: Disintegration of measures and measure-valued conditional expectations. Lecture notes, Université de Montréal, 1973
[4] Edgar, G., Disintegration of measures and the vector-valued Radon-Nikodym theorem, Duke Math. J., 42, 447-450 (1975) · Zbl 0331.28006
[5] Ellis, R., Lectures on Topological Dynamics (1967), New York: Benjamin, New York
[6] Halmos, P., Measure Theory (1950), New York: D. Van Nostrand, New York · Zbl 0040.16802
[7] Hoffman-Jorgensen, J., Existence of conditional probabilities, Math. Scand., 28, 257-264 (1971) · Zbl 0247.60001
[8] Ionescu-Tulcea, A.; Ionescu-Tulcea, C., On the existence of a lifting... locally compact group, Proc. Fifth Berkeley Sympos. Math. Statist. Probab., 2, 1, 63-97 (1965) · Zbl 0136.12203
[9] Ionescu-Tulcea, A.; Ionescu-Tulcea, C., Topics in the Theory of Lifting (1969), Berlin-Heidelberg-New York: Springer, Berlin-Heidelberg-New York · Zbl 0179.46303
[10] Johnson, R., Disintegration of measures on compact transformation groups, Transactions of the AMS, 233, 249-264 (1977) · Zbl 0377.28006
[11] Keynes, H.; Newton, D., The structure of ergodic measures for compact group extensions, Israel J. Math., 18, 363-389 (1974) · Zbl 0299.54033
[12] Maharam, D., Strict disintegrations of measures, Z. Wahrscheinlichkeitstheorie Verw. Gebiete, 32, 73-79 (1975) · Zbl 0291.28012
[13] Meyer, P.-A., Probability and Potentials (1966), Mass.-Toronto-London: Blaisdell, Waltham, Mass.-Toronto-London · Zbl 0138.10401
[14] Montgomery, H.; Zippin, L., Topological Transformation Groups (1955), New York: Interscience Publishers, Inc., New York · Zbl 0068.01904
[15] Phelps, R. R., Lectures on Choquet’s Theorem (1966), New York: American Book, New York · Zbl 0135.36203
[16] Valadier, M., Désintégration d’une mesure sur un produit, C.R. Acad. Sci. Paris, 276, 33-35 (1973) · Zbl 0244.28007
[17] Varadarajan, V. S., Groups of automorphisms of Borel spaces, Transactions of the AMS, 109, 191-220 (1963) · Zbl 0192.14203
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