Distant future and analytic measures
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- by Jun-ichi Tanaka
- Trans. Amer. Math. Soc. 296 (1986), 799-814
- DOI: https://doi.org/10.1090/S0002-9947-1986-0846607-6
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Abstract:
Using a representation of analytic measures in terms of a flow built under a function, it is shown that a positive measure is the total variation measure of an analytic measure if and only if the distant future is the zero subspace. This settles a problem posed by Forelli in connection with his generalization of F. and M. Riesz theorems. We also provide another version of Helson’s existence theorem.References
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Bibliographic Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 296 (1986), 799-814
- MSC: Primary 28D05; Secondary 43A17
- DOI: https://doi.org/10.1090/S0002-9947-1986-0846607-6
- MathSciNet review: 846607