Hausdorff dimension of level sets of some Rademacher series
نویسندگان
چکیده
منابع مشابه
The sum of Rademacher functions and Hausdorff dimension
For 0 < a < 1, let/a(x) = 2,1,2~ Ri(x) for 0 s$ x < 1, where {#,}£, is the sequence of Rademacher functions. We give a class of fa so that their graphs have Hausdorff dimension 2 —a. The result is closely related to the corresponding unsolved question for the Weierstrass functions.
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1962
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1962.12.35