On the class of limits of lacunary trigonometric series
From MaRDI portal
Publication:626005
DOI10.1007/S10474-010-9218-3zbMath1240.11081OpenAlexW2089085079MaRDI QIDQ626005
Publication date: 25 February 2011
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10474-010-9218-3
Strong limit theorems (60F15) Irregularities of distribution, discrepancy (11K38) Lacunary series of trigonometric and other functions; Riesz products (42A55)
Related Items (2)
Quantitative uniform distribution results for geometric progressions ⋮ On the law of the iterated logarithm for the discrepancy of lacunary sequences II
Cites Work
- Unnamed Item
- Diophantine equations and the LIL for the discrepancy of sublacunary sequences
- Irregular discrepancy behavior of lacunary series. II
- On the central limit theorem for \(f(n_{k}x)\)
- The law of the iterated logarithm for discrepancies of \(\{\theta^{n}x\}\)
- A metric discrepancy result for the Hardy-Littlewood-Pólya sequences
- Irregular discrepancy behavior of lacunary series
- A law of the iterated logarithm for discrepancies: non-constant limsup
- Empirical processes in probabilistic number theory: the LIL for the discrepancy of \((n_{k}\omega)\bmod 1\)
- On the pointwise convergence of Fourier series
- The law of the iterated logarithm for a gap sequence with infinite gaps
- On the law of the iterated logarithm for the discrepancy of lacunary sequences
- POINTWISE CONVERGENCE OF FOURIER SERIES
- Metric Discrepancy Results for Sequences {nkx} and Diophantine Equations
- An A.S. Invariance principle for lacunary seriesf(n k x)
- A central limit theorem for trigonometric series with small gaps
- LACUNARY SERIES AND INDEPENDENT FUNCTIONS
- Limit theorems for lacunary series and uniform distribution mod 1
- An asymptotic property of a gap sequence
- On Lacunary Trigonometric Series
- Probability methods in some problems of analysis and number theory
This page was built for publication: On the class of limits of lacunary trigonometric series