Spectral property of self-affine measures on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>

Jing‐Cheng Liu, Jun Luo

Type: Article

Publication Date: 2016-10-19

Citations: 26

DOI: https://doi.org/10.1016/j.jfa.2016.10.011

View Publication

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View
Journal of Functional Analysis - View

Similar Works

Action	Title	Year	Authors
+	Spectral and non-spectral property of self-affine measures on ℝn	2023	Weijie Wang
+	Spectral and non-spectral property of self-affine measures on ℝn	2023	WeiJie Wang
+	On zeros and spectral property of self-affine measures	2023	Zhiyong Wang Jing‐Cheng Liu Xin‐Han Dong
+ PDF Chat	Spectrality of generalized Sierpinski-type self-affine measures	2021	Jing‐Cheng Liu Ying Zhang Zhiyong Wang Mingliang Chen
+	Spectrality of generalized Sierpinski-type self-affine measures	2020	Jing‐Cheng Liu Ying Zhang Zhiyong Wang Mingliang Chen
+	Fourier bases of a class of planar self-affine measures	2022	Mingliang Chen Jing‐Cheng Liu Zhiyong Wang
+ PDF Chat	Sufficient conditions for the spectrality of self-affine measures with prime determinant	2014	Jianlin Li
+	On the spectrality of self-affine measures with four digits on ℝ2	2020	Mingliang Chen Zhi-Hui Yan
+	Spectrality of a class of self-affine measures on R2 *	2021	Mingliang Chen Jing‐Cheng Liu Xiang-Yang Wang
+	NON-SPECTRALITY OF THE PLANAR SELF-AFFINE MEASURES WITH FOUR-ELEMENT DIGIT SETS	2019	Juan Su Yao Liu Jing‐Cheng Liu
+	INFINITE ORTHOGONAL EXPONENTIALS OF A CLASS OF SELF-AFFINE MEASURES	2020	Zhi‐Min Wang Xin‐Han Dong Ye Wang
+	Non-spectral Problems of Certain Digit Set	2010	Ming Zhong
+	Spectral property of the planar self-affine measures with three-element digit sets	2020	Mingliang Chen Jing‐Cheng Liu Juan Su
+	The spectrality of self-affine measure under the similarity transformation of $GL_n(p)$	2020	Jing‐Cheng Liu Zhiyong Wang
+	Non-spectral problem of self-affine measures with consecutive collinear digits in $$\mathbb{R}^2$$	2024	Juan Su Sha Wu
+ PDF Chat	Non-spectral problem for the planar self-affine measures with decomposable digit sets	2020	Zhi‐Min Wang
+ PDF Chat	Fourier bases of a class of planar self-affine measures	2023	Mingliang Chen Jing‐Cheng Liu Zhiyong Wang
+	On the orthogonal exponential functions of a class of planar self-affine measures	2019	Mingliang Chen Xiang-Yang Wang Jia Zheng
+	The Spectral Eigenmatrix Problems of Planar Self-Affine Measures with Four Digits	2022	Jing‐Cheng Liu Min-Wei Tang Sha Wu
+	Extensions of Laba-Wang's condition for spectral pairs	2014	Jianlin Li

Works That Cite This (25)

Action	Title	Year	Authors
+	Scaling spectrum of a class of self-similar measures with product form on ℝ	2024	Shan-Feng Yi Min-Min Zhang
+	The cardinality of orthogonal exponentials of planar self-affine measures with three-element digit sets	2018	Mingliang Chen Jing‐Cheng Liu
+ PDF Chat	Fourier bases of a class of planar self-affine measures	2023	Mingliang Chen Jing‐Cheng Liu Zhiyong Wang
+	On spectral eigenvalue problem of a class of generalized Cantor measures	2019	Zhiyi Wu
+	Scaling of spectra of self-similar measures with consecutive digits	2017	Zhiyi Wu Meng Zhu
+	Spectrality of a Class of Moran Measures	2019	Mingliang Chen Jing‐Cheng Liu Juan Su Xiang-Yang Wang
+	Orthogonal exponentials of self-affine measures on ℝn	2020	Juan Su Ming-Liang Chen
+	On the orthogonal exponential functions of a class of planar self-affine measures	2019	Mingliang Chen Xiang-Yang Wang Jia Zheng
+	Non-spectral problem of self-affine measures with consecutive collinear digits in $$\mathbb{R}^2$$	2024	Juan Su Sha Wu
+ PDF Chat	Spectrality of generalized Sierpinski-type self-affine measures	2021	Jing‐Cheng Liu Ying Zhang Zhiyong Wang Mingliang Chen

Works Cited by This (25)

Action	Title	Year	Authors
+	Spectrality of a class of infinite convolutions	2015	Li-Xiang An Xing‐Gang He Ka‐Sing Lau
+	Complex Hadamard matrices and the spectral set conjecture	2006	Mihail N. Kolountzakis Máté Matolcsi
+	Hadamard triples generate self-affine spectral measures	2015	Dorin Ervin Dutkay John Haussermann Chun‐Kit Lai
+	Non-spectrality of planar self-affine measures with three-elements digit set	2009	Jian‐Lin Li
+	Self-Affine Tiles in Rn	1996	Jeffrey C. Lagarias Yang Wang
+	On the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mi>M</mml:mi><mml:mo>,</mml:mo><mml:mi>D</mml:mi></mml:mrow></mml:msub></mml:math>-orthogonal exponentials	2010	Jianlin Li
+	Spectral property of the Bernoulli convolutions	2008	Tian-You Hu Ka‐Sing Lau
+	Remarks on “Dense analytic subspaces in fractalL 2-spaces” by P.E.T. Jorgensen and S. Pedersen	1998	Robert S. Strichartz
+	A class of spectral Moran measures	2013	Li-Xiang An Xing‐Gang He
+	Spectra of a class of self-affine measures	2010	Jianlin Li