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Proceedings of the American Mathematical Society

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

 

 

Sets of multiplicity and differentiable functions


Author: R. Kaufman
Journal: Proc. Amer. Math. Soc. 32 (1972), 472-476
MSC: Primary 42A48; Secondary 43A46
DOI: https://doi.org/10.1090/S0002-9939-1972-0340928-7
MathSciNet review: 0340928
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Abstract: The paper contains two theorems relating the fine structure of differentiable functions, in one or more dimensions, to the behavior of Fourier-Stieltjes transforms on sets that are small in various ways.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0340928-7
Keywords: $ {M_0}$-set, Kronecker set, $ {C^1}$ topology
Article copyright: © Copyright 1972 American Mathematical Society