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A functional method for linear sets

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Abstract

Kronecker sets for approximation by characters are constructed by an application of Baire’s theorem to Banach spaces of differentiable functions.

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References

  1. J.-P. Kahane and R. Salem,Ensembles Parfaits et Series Trigonométriques, Hermann Paris, 1963.

  2. W. Rudin,Fourier Analysis on Groups, Interscience, New York, 1962.

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  3. I. Wik,Some examples of sets with linear independence, Arkiv for Matematik,5(1965), 207–214.

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Authors and Affiliations

  1. University of Illinois, Urbana, Illinois

    R. Kaufman

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  1. R. Kaufman
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Kaufman, R. A functional method for linear sets. Israel J. Math. 5, 185–187 (1967). https://doi.org/10.1007/BF02771106

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  • DOI: https://doi.org/10.1007/BF02771106

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