Kronecker sets and metric properties of $M_{0}$-sets
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- by Robert Kaufman PDF
- Proc. Amer. Math. Soc. 36 (1972), 519-524 Request permission
Abstract:
A method for constructing both sets of multiplicity and Kronecker sets within a given set of multiplicity is derived from the work of Ivashev-Musatov; it is shown that the Hausdorff measures and other measures are essentially distinct. Finally, an improvement of a theorem of Salem is obtained, using PyateckiÄ-Shapiro’s theorem on non-M sets.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 36 (1972), 519-524
- MSC: Primary 42A72; Secondary 43A10
- DOI: https://doi.org/10.1090/S0002-9939-1972-0310540-4
- MathSciNet review: 0310540