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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On measures of analytic type


Authors: Louis Pigno and Brent Smith
Journal: Proc. Amer. Math. Soc. 82 (1981), 541-547
MSC: Primary 43A05; Secondary 43A17
DOI: https://doi.org/10.1090/S0002-9939-1981-0614875-2
MathSciNet review: 614875
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Abstract: The purpose of this note is to show how the characterization of an absolutely continuous or singular measure of R. Doss can be used to prove the Helson-Lowdenslager Theorem for measures of analytic type. Our methods were inspired by the work of P. Cohen and H. Davenport on the $ {L^1}$ norm of exponential sums.


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DOI: https://doi.org/10.1090/S0002-9939-1981-0614875-2
Article copyright: © Copyright 1981 American Mathematical Society