Nonspectrality of Certain Self-Affine Measures on ℝ3

We will determine the nonspectrality of self-affine measure μB,D corresponding to B=diag[p1,p2,p3]  (p1∈(2ℤ+1)∖{±1}, p2∈2ℤ∖{0}), and D={0,e1,e2,e3} in the space ℝ3 is supported on T(B,D), where e1,  e2, and e3 are the standard basis of unit column vectors in ℝ3, and there exist at most 4 mutually or...

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Bibliographic Details
Main Author: Gui-Bao Gao
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/294182
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