On measures of analytic type

Pigno, Louis; Smith, Brent

doi:10.1090/S0002-9939-1981-0614875-2

On measures of analytic type
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by Louis Pigno and Brent Smith PDF

Proc. Amer. Math. Soc. 82 (1981), 541-547 Request permission

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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