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Correction to: ``Zero-one laws for stable measures'' [Proc. Amer. Math. Soc. 45 (1974), 245-252; MR 51 #6901]
Author(s):
R. M.
Dudley;
Marek
Kanter
Journal:
Proc. Amer. Math. Soc.
88
(1983),
689-690.
MSC:
Primary 60B11;
Secondary 60E07, 60F20
Original article:
Proc. Amer. Math. Soc. 131 (2003), 2255-2259.
MathSciNet review:
702300
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Abstract:
A law on a vector space (e.g. the plane) with all one-dimensional marginals stable (of index less than 1) need not be stable, by examples of David Marcus. An error in the authors' proof to the contrary is noted.
References:
-
- [1]
- S. Banach, Théorie des opérations linéaires, 2nd ed., Chelsea, New York, 1963.
- [2]
- J. P. R. Christensen, Borel structures in groups and semigroups, Math. Scand. 28 (1971), 124-128. MR 0308322 (46:7436)
- [3]
- R. M. Dudley and M. Kanter, Zero-one laws for stable measures, Proc. Amer. Math. Soc. 45 (1974), 245-252. MR 0370675 (51:6901)
- [4]
- E. Giné and M. G. Hahn, On stability of probability laws with univariate stable marginals, preprint. MR 714141 (85e:60016)
- [5]
- G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, 4th ed., Clarendon Press, Oxford, 1960.
- [6]
- David J. Marcus, Non-stable laws with all projections stable, Z. Wahrsch. Verw. Gebiete (to appear).
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Additional Information:
DOI:
10.1090/S0002-9939-1983-0702300-4
PII:
S0002-9939-1983-0702300-4
Copyright of article:
Copyright
1983,
American Mathematical Society
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