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Spectrality of Moran Sierpinski-type measures on ${\mathbb R}^2$
Published online by Cambridge University Press: 18 January 2021
Abstract
Let
$M=$
diag
$(\rho _1,\rho _2)\in M_{2}({\mathbb R})$
be an expanding matrix and Let
$\{D_n\}_{n=1}^{\infty }$
be a sequence of digit sets with
$D_n=\left \{(0, 0)^T,\,\,\,(a_n, 0 )^T, \,\,\, (0, b_n )^T \right \}$
, where
$a_n, b_n\in \{-1,1\}$
. The associated Borel probability measure
MSC classification
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- © Canadian Mathematical Bulletin 2021
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