On Lacunary Series with Random Gaps

M. Raseta*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Abstract We prove Strassen's law of the iterated logarithm for sums (Formula presented.) where f is a smooth periodic function on the real line and (Formula presented.) is an increasing random sequence. Our results show that classical results of the theory of lacunary series remain valid for sequences with random gaps, even in the nonharmonic case and if the Hadamard gap condition fails.

Original languageEnglish
Pages (from-to)150-161
Number of pages12
JournalActa Mathematica Hungarica
Issue number1
Early online date20 Jun 2014
Publication statusPublished - Oct 2014

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