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Local tightness of convolution semigroups over locally compact groups

Part of the Lecture Notes in Mathematics book series (LNM,volume 928)

Keywords

  • Compact Group
  • Natural Projection
  • Closed Subgroup
  • Finite Index
  • Vector Group

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References

  1. Heyer, H., “Probability measures on locally compact groups”, Ergebnisse der Mathematik und ihrer Grenzgebiete 94, Berlin-Heidelberg-New York, Springer 1977.

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  2. Hochschild, G., “The structure of Lie groups”, San Francisco, Holden-Day 1965.

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  3. McCrudden, M., Burrell, Q.L. “Infinitely divisible distributions on connected nilpotent Lie groups”, J. Lond. Math. Soc. II, Ser. 7 193–196 (1974).

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  4. McCrudden, M., “Factors and roots of large measures on connected Lie groups”, Math. Zeit. 177, 315–322 (1981).

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  5. McCrudden, M. “On embedding infinitely divisible distributions on simply-connected solvable Lie groups”. To appear in J. Lond. Math. Soc.

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  6. McCrudden, M. “Infinitely divisible probabilities on SL(2, C) are continuously embedded”, (Preprint, June 1981).

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  7. Mostow, G.D. “On the fundamental group of a homogeneous space”, Ann. of Math. 66, 249–255 (1957).

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  8. Parthasarathy, K.R. “Infinitely divisible distributions in SL(k, C) or SK(k, R) may be embedded in diadic convolution semigroups” in “Probability measures on groups” (Ed. H. Heyer) Springer Lecture Notes in Mathematics No. 706.

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  9. Parthasarathy, K.R., “Probability measures on metric spaces”, Academic Press, London 1967.

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© 1982 Springer-Verlag

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McCrudden, M. (1982). Local tightness of convolution semigroups over locally compact groups. In: Heyer, H. (eds) Probability Measures on Groups. Lecture Notes in Mathematics, vol 928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093230

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  • DOI: https://doi.org/10.1007/BFb0093230

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  • Print ISBN: 978-3-540-11501-4

  • Online ISBN: 978-3-540-39206-4

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