On the spectra of Sierpinski-type self-affine measures

Deng Qi-Rong

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On the spectra of Sierpinski-type self-affine measures

机译：Sierpinski型自仿射测度的光谱

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摘要

For a class of Sierpinski-type self-affine measures on R-2, a characterization for all maximal orthogonal sets of exponentials is given. By this characterization, a sufficient condition for a maximal orthogonal set to be a basis of L-2(mu) is given. (C) 2016 Elsevier Inc. All rights reserved.

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《Journal of Functional Analysis 》 |2016年第12期| 共17页
作者
Deng Qi-Rong;
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正文语种 eng
中图分类数学 ;
关键词
Compatible pair; Maximal orthogonal family; Orthonormal basis; Sierpinski-type self-affine measure;

机译：兼容对;最大正交族;正交基础;Sierpinski型自仿射测度;

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1. Spectrality of generalized Sierpinski-type self-affine measures [J] . Liu Jing-Cheng, Zhang Ying, Wang Zhi-Yong, Applied and Computational Harmonic Analysis . 2021 ,第Nova期

机译：广义Sierpinski型自助措施的光谱
2. On the spectra of Sierpinski-type self-affine measures [J] . Deng Qi-Rong Journal of Functional Analysis . 2016 ,第12期

机译：Sierpinski型自仿射测度的光谱
3. Tree structure of spectra of spectral self-affine measures [J] . Deng Qi-Rong, Dong Xin-Han, Li Ming-Tian Journal of Functional Analysis . 2019 ,第3期

机译：光谱自助措施光谱的树结构
4. A Robust Variance Complexity Measure for Stochastic Self-Affine Processes [C] . Witold Kinsner IEEE International Conference on Cognitive Informatics and Cognitive Computing . 2019

机译：随机自仿射过程的鲁棒方差复杂度度量
5. Spectral sets and spectral self-affine measures. [D] . Li, Jian Lin. 2005

机译：光谱集和光谱自仿射度量。
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On the spectra of Sierpinski-type self-affine measures

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