# Bernoulli convolutions with Garsia parameters in $(1,\sqrt{2}]$ have continuous density functions

@inproceedings{Yu2021BernoulliCW, title={Bernoulli convolutions with Garsia parameters in \$(1,\sqrt\{2\}]\$ have continuous density functions}, author={Han Yu}, year={2021} }

Let λ ∈ (1, √ 2] be an algebraic integer with Mahler measure 2. A classical result of Garsia shows that the Bernoulli convolution μλ is absolutely continuous with respect to the Lebesgue measure with a density function in L∞. In this paper, we show that the density function is continuous.

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