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تسجيل مستخدم جديدBernoulli convolutions with Garsia parameters in $(1,sqrt{2}]$ have continuous density functions
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تأليف
Han Yu
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Let $lambdain (1,sqrt{2}]$ be an algebraic integer with Mahler measure $2.$ A classical result of Garsia shows that the Bernoulli convolution $mu_lambda$ is absolutely continuous with respect to the Lebesgue measure with a density function in $L^infty$. In this paper, we show that the density function is continuous.
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