Xin-Rong Dai

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All published works

Action	Title	Year	Authors
+	Spectral Properties of Sierpinski Measures on $$\mathbb {R}^n$$	2023	Xin-Rong Dai Xiaoye Fu Zhi-Hui Yan
+ PDF Chat	Connectedness and local cut points of generalized Sierpiński carpets	2023	Xin-Rong Dai Jun Luo Huo-Jun Ruan Li Wang Jian-Ci Xiao
+	NON-SPECTRAL PROBLEM FOR CANTOR MEASURES	2021	Xin-Rong Dai Meng Zhu
+	Connectedness and local cut points of generalized Sierpinski carpets	2021	Xin-Rong Dai Jun Luo Huo-Jun Ruan Yang Wang Jian-Ci Xiao
+	Spectrality of self-affine Sierpinski-type measures on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>	2020	Xin-Rong Dai Xiaoye Fu Zhi-Hui Yan
+	Space-filling curves of self-similar sets (II): edge-to-trail substitution rule	2019	Xin-Rong Dai Hui Rao Shuqin Zhang
+ PDF Chat	The 𝑎𝑏𝑐-problem for Gabor systems	2016	Xin-Rong Dai Qiyu Sun
+	Spectra of Cantor measures	2016	Xin-Rong Dai
+	Spectral measures with arbitrary Hausdorff dimensions	2015	Xin-Rong Dai Qiyu Sun
+	The abc-Problem for Gabor Systems and Uniform Sampling in Shift-Invariant Spaces	2015	Xin-Rong Dai Qiyu Sun
+	An isodiametric problem of fractal dimension	2014	Xin-Rong Dai Weihong He Jun Luo Bo Tan
+	On spectral N -Bernoulli measures	2014	Xin-Rong Dai Xing‐Gang He Ka‐Sing Lau
+	Spectra and maximal orthogonal sets of Cantor measures	2014	Xin-Rong Dai
+	On Spectral N-Bernoulli Mmeasure	2014	Xin-Rong Dai Xing‐Gang He Ka‐Sing Lau
+	Spectral measures with arbitrary Hausdorff dimensions	2014	Xin-Rong Dai Qiyu Sun
+	Law of Pure Types and Some Exotic Spectra of Fractal Spectral Measures	2014	Xin-Rong Dai Xing‐Gang He Chun‐Kit Lai
+	Spectra of Cantor measures	2014	Xin-Rong Dai
+	Spectral property of Cantor measures with consecutive digits	2013	Xin-Rong Dai Xing‐Gang He Chun‐Kit Lai
+	The $abc$-problem for Gabor systems	2013	Xin-Rong Dai Qiyu Sun
+	When does a Bernoulli convolution admit a spectrum?	2012	Xin-Rong Dai
+	An isodiametric problem with additional constraints	2012	Xin-Rong Dai Wei-Hong He Jun Luo
+	Spectral property of Cantor measures with consecutive digits	2012	Xin-Rong Dai Xing‐Gang He Chun‐Kit Lai
+	Summation and intersection of refinable shift invariant spaces	2011	Xin-Rong Dai Junquan Song
+	Refinable functions with non-integer dilations	2007	Xin-Rong Dai De‐Jun Feng Yang Wang
+ PDF Chat	On Refinable Sets	2007	Xin-Rong Dai Yang Wang
+	Structure of refinable splines	2006	Xin-Rong Dai De‐Jun Feng Yang Wang
+	Compactly supported multi-refinable distributions and B-splines	2005	Xin-Rong Dai
+	Refinable distributions supported on self-affine tiles	2002	Xin-Rong Dai
+	Local polynomial property and linear independence of refinable distributions	2002	Xin-Rong Dai Ding-jiang Huang Qi Sun
+	Compactly supported both "m" and "n" refinable distributions	2000	Xin-Rong Dai Zeyin Zhang Qiyu Sun
+	Construction of Compactly SupportedM-Band Wavelets	1999	Ning Bi Xin-Rong Dai Qiyu Sun
+	Some properties of five-coefficient refinement equation	1996	Xin-Rong Dai Daren Huang Qiyu Sun

Common Coauthors

Coauthor	Papers Together
Qiyu Sun	7
Xing‐Gang He	5
Jun Luo	4
Yang Wang	4
Chun‐Kit Lai	3
Zhi-Hui Yan	2
Xiaoye Fu	2
Jian-Ci Xiao	2
Ka‐Sing Lau	2
De–Jun Feng	2
Qi Sun	1
Huo-Jun Ruan	1
Daren Huang	1
Hui Rao	1
Wei-Hong He	1
Huo-Jun Ruan	1
Shuqin Zhang	1
Weihong He	1
Meng Zhu	1
Bo Tan	1
Ding-jiang Huang	1
Ning Bi	1
Yang Wang	1
Zeyin Zhang	1
Yang Wang	1
Qiyu Sun	1
Junquan Song	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Spectral property of the Bernoulli convolutions	2008	Tian-You Hu Ka‐Sing Lau	13
+ PDF Chat	Dense analytic subspaces in fractalL 2-spaces	1998	Palle E. T. Jørgensen Steen Pedersen	13
+	Convergence of mock Fourier series	2006	Robert S. Strichartz	12
+	On Spectral Cantor Measures	2002	Izabella Łaba Yang Wang	12
+	When does a Bernoulli convolution admit a spectrum?	2012	Xin-Rong Dai	12
+ PDF Chat	Fractal Geometry: Mathematical Foundations and Applications.	1990	K. J. Falconer	11
+	On the Beurling dimension of exponential frames	2010	Dorin Ervin Dutkay Deguang Han Qiyu Sun Eric Weber	10
+	Spectral property of Cantor measures with consecutive digits	2013	Xin-Rong Dai Xing‐Gang He Chun‐Kit Lai	10
+	On the spectra of a Cantor measure	2009	Dorin Ervin Dutkay Deguang Han Qiyu Sun	9
+ PDF Chat	Tiles with no spectra	2006	Mihail N. Kolountzakis Máté Matolcsi	9
+ PDF Chat	Necessary density conditions for sampling and interpolation of certain entire functions	1967	H. J. Landau	9
+	Uniformity of measures with Fourier frames	2013	Dorin Ervin Dutkay Chun‐Kit Lai	9
+	Commuting self-adjoint partial differential operators and a group theoretic problem	1974	Bent Fuglede	8
+	On Fourier frame of absolutely continuous measures	2011	Chun‐Kit Lai	7
+ PDF Chat	Fuglede’s conjecture is false in 5 and higher dimensions	2004	Terence Tao	7
+	On spectral N -Bernoulli measures	2014	Xin-Rong Dai Xing‐Gang He Ka‐Sing Lau	7
+	Self-Affine Tiles in Rn	1996	Jeffrey C. Lagarias Yang Wang	7
+	Exponential spectra in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mi>μ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	2012	Xing‐Gang He Chun‐Kit Lai Ka‐Sing Lau	6
+	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>μ</mml:mi><mml:mrow><mml:mi>M</mml:mi><mml:mo>,</mml:mo><mml:mi>D</mml:mi></mml:mrow></mml:msub></mml:math>-Orthogonality and compatible pair	2006	Jian‐Lin Li	6
+ PDF Chat	THE SPECTRAL SET CONJECTURE AND MULTIPLICATIVE PROPERTIES OF ROOTS OF POLYNOMIALS	2002	Izabella Łaba	5
+ PDF Chat	Some properties of spectral measures	2005	Izabella Łaba Yang Wang	5
+	Fourier frequencies in affine iterated function systems	2007	Dorin Ervin Dutkay Palle E. T. Jørgensen	5
+ PDF Chat	Analysis of orthogonality and of orbits in affine iterated function systems	2007	Dorin Ervin Dutkay Palle E. T. Jørgensen	5
+	Mock Fourier series and transforms associated with certain Cantor measures	2000	Robert S. Strichartz	4
+	A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution	1989	Amos Ron	4
+ PDF Chat	Families of Spectral Sets for Bernoulli Convolutions	2010	Palle E. T. Jørgensen Keri Kornelson Karen L. Shuman	4
+ PDF Chat	Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces	2001	Akram Aldroubi Karlheinz Gröchenig	4
+ PDF Chat	Stationary subdivision	1991	A. S. Cavaretta Wolfgang Dahmen Charles A. Micchelli	4
+	A class of nonharmonic Fourier series	1952	R. J. Duffin A. C. Schaeffer	4
+	Exponential spectra in $L^2(μ)$	2011	Xing‐Gang He Chun‐Kit Lai Ka‐Sing Lau	4
+	Divergence of the mock and scrambled Fourier series on fractal measures	2013	Dorin Ervin Dutkay Deguang Han Qiyu Sun	4
+ PDF Chat	An Introduction to Frames and Riesz Bases	2005	Eric Weber Ole Christensen	4
+	Lattice tiling and the Weyl—Heisenberg frames	2001	Deguang Han Yang Wang	3
+	A sampling theorem for wavelet subspaces	1992	G.G. Walter	3
+ PDF Chat	Orthogonal exponentials, translations, and Bohr completions	2009	Dorin Ervin Dutkay Deguang Han Palle E. T. Jørgensen	3
+	Fuglede’s conjecture fails in dimension 4	2005	Máté Matolcsi	3
+ PDF Chat	THE ART OF FRAME THEORY	2000	Peter G. Casazza	3
+	Fourier duality for fractal measures with affine scales	2012	Dorin Ervin Dutkay Palle E. T. Jørgensen	3
+	Density theorems for sampling and interpolation in the Bargmann-Fock space I.	1992	Kristian Seip	3
+	Signal Analytic Proofs of Two Basic Results on Lattice Expansions	1994	A. J. E. M. Janssen	3
+	When a characteristic function generates a Gabor frame	2007	Qing Gu Deguang Han	3
+	Von Neumann algebras associated with pairs of lattices in Lie groups	1981	Marc A. Rieffel	3
+ PDF Chat	Stability and linear independence associated with wavelet decompositions	1993	Rong Qing Jia Jianzhong Wang	3
+	A class of spectral Moran measures	2013	Li-Xiang An Xing‐Gang He	3
+	Spectra of a class of self-affine measures	2010	Jianlin Li	3
+ PDF Chat	Processing a radar signal and representations of the discrete Heisenberg group	1990	Lawrence W. Baggett	3
+	Characterization of local sampling sequences for spline subspaces	2008	Wenchang Sun Xingwei Zhou	3
+	Local reconstruction for sampling in shift-invariant spaces	2008	Qiyu Sun	3
+	Frame constants of Gabor frames near the critical density	2010	Alexander Borichev Karlheinz Gröchenig Yurii Lyubarskii	3
+	On Generating Tight Gabor Frames at Critical Density	2003	A. J. E. M. Janssen	3