On the range of \sum_{n=1}^\infty \pm c_n

DOI10.5186/aasfm.2015.4004zbMath1332.28009arXiv1309.7745OpenAlexW2963623482MaRDI QIDQ3194634

Xing-Gang He, Chuntai Liu

Publication date: 20 October 2015

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.7745

zbMATH Keywords

Hausdorff dimensionRademacher seriesinfinite Bernoulli convolutionMoran function system

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Hausdorff and packing measures (28A78)

Related Items (1)

The range of Rademacher series in \({\mathbb R}^d\)

Cites Work

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• Rademacher series and isomorphisms of rearrangement invariant spaces on the finite interval and on the semi-axis
• The distribution of vector-valued Rademacher series
• Some dimensional results for homogeneous Moran sets
• The distribution of non-commutative Rademacher series
• On the random series \(\sum\pm\lambda^ n\) (an Erdös problem)
• Hausdorff dimension of leve l sets of some Rademacher series
• Hausdorff dimension of certain level sets associated with generalized Rademacher functions
• Dimension of level sets of some Rademacher series
• Hausdorff dimensions of level sets of Rademacher series
• Distribution Functions and the Riemann Zeta Function

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