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- W2804413339 abstract "In this paper, we consider the planar self-affine measures $mu_{M,D}$ generated by an expanding matrix $Min M_2(mathbb{Z})$ and an integer digit set $ D=left{ {left( {begin{array}{*{20}{c}} 0 0 end{array}} right),left( {begin{array}{*{20}{c}} alpha_1 alpha_2 end{array}} right),left( {begin{array}{*{20}{c}} beta_1 beta_2 end{array}} right)} right} $ with $alpha_1beta_2-alpha_2beta_1neq0$. We show that if $det(M)notin 3mathbb{Z}$, then the mutually orthogonal exponential functions in $L^2(mu_{M,D})$ is finite, and the exact maximal cardinality is given." @default.
- W2804413339 created "2018-06-01" @default.
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- W2804413339 date "2018-05-24" @default.
- W2804413339 modified "2023-09-27" @default.
- W2804413339 title "The cardinality of orthogonal exponentials of planar self-affine measures with three-element digit sets" @default.
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- W2804413339 doi "https://doi.org/10.48550/arxiv.1805.09941" @default.
- W2804413339 hasPublicationYear "2018" @default.
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