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2014 Nonspectrality of Certain Self-Affine Measures on 3
Gui-Bao Gao
Abstr. Appl. Anal. 2014: 1-9 (2014). DOI: 10.1155/2014/294182

Abstract

We will determine the nonspectrality of self-affine measure μB,D corresponding to B=diag[p1,p2,p3] (p1(2+1){±1}, p22{0}), and D={0,e1,e2,e3} in the space 3 is supported on T(B,D), where e1, e2, and e3 are the standard basis of unit column vectors in 3, and there exist at most 4 mutually orthogonal exponential functions in L2(μB,D), where the number 4 is the best. This generalizes the known results on the spectrality of self-affine measures.

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Gui-Bao Gao. "Nonspectrality of Certain Self-Affine Measures on 3." Abstr. Appl. Anal. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/294182

Information

Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07022108
MathSciNet: MR3166593
Digital Object Identifier: 10.1155/2014/294182

Rights: Copyright © 2014 Hindawi

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