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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Gleason parts and certain counterexamples in the big disc context


Author: J. P. Milaszewicz
Journal: Proc. Amer. Math. Soc. 45 (1974), 217-222
MSC: Primary 46J10
MathSciNet review: 0380421
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Abstract: In the first part of this paper, Lemmas (1.1) and (1.4) provide a generalization of the fact that no Cauchy measures exist in the big disc. In the second part we show that this fact implies the existence of the H. Bohr and J. Favard counterexamples concerning harmonic and analytic almost periodic functions.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0380421-0
PII: S 0002-9939(1974)0380421-0
Article copyright: © Copyright 1974 American Mathematical Society