Fuglede’s conjecture is false in 5 and higher dimensions

Cited by (391)

Items 101–200 of 391

1. Fuglede’s conjecture holds on ℤ_{𝕡}²×ℤ_{𝕢}
   Gergely Kiss, Gábor Somlai · 2021 · Proceedings of the American Mathematical Society
2. Spectrality of random convolutions generated by finitely many Hadamard triples
   Wenxia Li, Jun Jie Miao, Zhiqiang Wang · 2023 · Nonlinearity
3. On the Universal Tiling Conjecture in Dimension One
   Dorin Ervin Dutkay, Palle E. T. Jørgensen · 2013 · Journal of Fourier Analysis and Applications
4. Spectral Measures on Local Fields
   Aihua Fan · 2015 · Springer proceedings in mathematics & statistics
5. Spectral properties of a class of Moran measures
   Zhi-Hui Yan · 2018 · Journal of Mathematical Analysis and Applications
6. Classification of tile digit sets as product-forms
   Chun‐Kit Lai, Ka‐Sing Lau, Hui Rao · 2016 · Transactions of the American Mathematical Society
7. Density of frames and Schauder bases of windowed exponentials
   Christopher Heil, Gitta Kutyniok · 2008
8. Hadamard triples generate self-affine spectral measures
   Dorin Ervin Dutkay, Chun‐Kit Lai, John Haussermann · 2015 · arXiv (Cornell University)
9. Momentum Operators in Two Intervals: Spectra and Phase Transition
   Palle E. T. Jørgensen, Steen Pedersen, Feng Tian · 2012 · Complex Analysis and Operator Theory
10. Families of complex Hadamard matrices
    Nuno Barros e Sá, Ingemar Bengtsson · 2013 · Linear Algebra and its Applications
11. Spectral Measures Associated with the Factorization of the Lebesgue Measure on a Set via Convolution
    Jean‐Pierre Gabardo, Chun‐Kit Lai · 2014 · Journal of Fourier Analysis and Applications
12. Spectrality and tiling by cylindric domains
    Rachel Greenfeld, Nir Lev · 2016 · Journal of Functional Analysis
13. Riesz bases of exponentials on unbounded multi-tiles
    Carlos Cabrelli, Diana Carbajal · 2017 · Proceedings of the American Mathematical Society
14. Spectrality of Moran measures with four-element digit sets
    Min-Wei Tang, Feng-Li Yin · 2018 · Journal of Mathematical Analysis and Applications
15. The defect of generalized Fourier matrices
    Teodor Banica · 2013 · Linear Algebra and its Applications
16. Spectral sets and tiles in Zp2×Zq2
    Thomas Fallon, Gergely Kiss, Gábor Somlai · 2022 · Journal of Functional Analysis
17. Isolated Hadamard matrices from mutually unbiased product bases
    Daniel McNulty, Stefan Weigert · 2012 · Journal of Mathematical Physics
18. Subfactors and Hadamard Matrices
    Wes Camp, Remus Nicoară · 2007 · arXiv (Cornell University)
19. COMPLEX HADAMARD MATRICES AND EQUIANGULAR TIGHT FRAMES
    2016
20. Spectrality of Moran-Sierpinski type measures
    Jinsong Liu, Zheng-Yi Lu, Ting Zhou · 2022 · Journal of Functional Analysis
21. Translational absolute continuity and Fourier frames on a sum of singular measures
    Xiaoye Fu, Chun‐Kit Lai · 2017 · Journal of Functional Analysis
22. Structures, Algorithms, and Algebraic Tools for Rhythmic Canons
    Emmanuel Amiot C · 2011 · Perspectives of New Music
23. Gabor orthonormal bases generated by the unit cubes
    Jean‐Pierre Gabardo, Chun‐Kit Lai, Yang Wang · 2015 · Journal of Functional Analysis
24. Isolated Hadamard Matrices from Mutually Unbiased Product Bases
    Daniel McNulty, Stefan Weigert · 2012
25. On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures
    Jinjun Li, Zhiyi Wu · 2022 · Applied and Computational Harmonic Analysis
26. Lattice sub-tilings and frames in LCA groups
    Davide Barbieri, Eugenio Hernández, Azita Mayeli · 2016 · Comptes Rendus Mathématique
27. Non-spectrality of self-affine measures
    Zhiyong Wang, Jing‐Cheng Liu · 2019 · Journal of Functional Analysis
28. A new method to construct families of complex Hadamard matrices in even dimensions
    Dardo Goyeneche · 2013 · Journal of Mathematical Physics
29. On the Spectra of Self-Affine Measures with Three Digits
    Qi-Rong Deng, X.-Y. Wang · 2019 · Analysis Mathematica
30. Voronoi conjecture for five-dimensional parallelohedra
    Alexey Garber · 2025 · Inventiones mathematicae
31. Spectrality of a class of Moran measures
    Zheng-Yi Lu, Xin‐Han Dong · 2021 · Monatshefte für Mathematik
32. Spectrality of Sierpinski-Moran measures
    Zhiyong Wang, Xin‐Han Dong · 2021 · Monatshefte für Mathematik
33. Nonuniform Sampling and Recovery of Multidimensional Bandlimited Functions by Gaussian Radial-Basis Functions
    B. A. Bailey, Thomas Schlumprecht, N. Sivakumar · 2010 · Journal of Fourier Analysis and Applications
34. Almost Hadamard matrices: The case of arbitrary exponents
    Teodor Banica, Ion Nechita · 2013 · Discrete Applied Mathematics
35. Scaling of spectra of a class of self‐similar measures on R
    Zhimin Wang, Xin‐Han Dong, Wen‐Hui Ai · 2019 · Mathematische Nachrichten
36. Fourier Bases and Fourier Frames on Self-Affine Measures
    Dorin Ervin Dutkay, Chun-Kit Lai, Yang Wang · 2017 · Trends in mathematics
37. Spectrality of a Class of Moran Measures
    Mingliang Chen, Jing‐Cheng Liu, Juan Su, Xiangyang Wang · 2019 · Canadian Mathematical Bulletin
38. Combinatorial and harmonic-analytic methods for integer tilings
    Izabella Łaba, Itay Londner · 2022 · Forum of Mathematics Pi
39. On properties of Karlsson Hadamards and sets of mutually unbiased bases in dimension six
    Andrew Maxwell, STEPHEN D. BRIERLEY · 2014 · Linear Algebra and its Applications
40. A Characterization on the Spectra of Self-Affine Measures
    Yan-Song Fu · 2018 · Journal of Fourier Analysis and Applications
41. Product-form Hadamard triples and its spectral self-similar measures
    Li-Xiang An, Chun-Kit Lai · 2023 · Advances in Mathematics
42. On the spectra of a class of self-affine measures on R2
    Zhimin Wang · 2020 · Journal of Functional Analysis
43. On the spectrality of self-affine measures with four digits on ℝ2
    Mingliang Chen, Zhi-Hui Yan · 2020 · International Journal of Mathematics
44. Spectrality of homogeneous Moran measures on ℝ n
    Yan-Song Fu, Min-Wei Tang · 2022 · Forum Mathematicum
45. On Fuglede's conjecture for three intervals
    Debashish Bose · 2010 · Online Journal of Analytic Combinatorics
46. Mutually Unbiased Bases in Low Dimensions
    STEPHEN D. BRIERLEY · 2009 · White Rose eTheses Online (University of Leeds, The University of Sheffield, University of York)
47. Orthogonal maximal abelian *-subalgebras of the 6x6 matrices
    Kyle A. Beauchamp, Remus Nicoară · 2006 · arXiv (Cornell University)
48. Prime tight frames
    Jakob Lemvig, Christopher W. Miller, Kasso A. Okoudjou · 2013 · Advances in Computational Mathematics
49. Spectrality of Moran measures with finite arithmetic digit sets
    Zong-Sheng Liu, Xin-han Dong · 2019 · International Journal of Mathematics
50. Fuglede’s Conjecture Holds in \(\boldsymbol{\mathbb{Z}_{p}\times \mathbb{Z}_{p^{n}}}\)
    Tao Zhang · 2023 · SIAM Journal on Discrete Mathematics
51. Tiling and Spectrality for Generalized Sierpinski Self-Affine Sets
    Mingliang Chen, Jing‐Cheng Liu, Jia Zheng · 2023 · Journal of Geometric Analysis
52. Unitary groups and spectral sets
    Dorin Ervin Dutkay, Palle E. T. Jørgensen · 2015 · Journal of Functional Analysis
53. Structured Hadamard Conjecture
    Ilias Kotsireas · 2013 · Springer proceedings in mathematics & statistics
54. Distance sets that are a shift of the integers and Fourier basis for planar convex sets
    Alex Iosevich, Philippe Jaming · 2008 · Acta Mathematica Academiae Scientiarum Hungaricae
55. The generalized Fuglede’s conjecture holds for a class of Cantor–Moran measures
    Li-Xiang An, Qian Li, Min-Min Zhang · 2025 · Pacific Journal of Mathematics
56. NUMBER THEORY PROBLEMS RELATED TO THE SPECTRUM OF CANTOR-TYPE MEASURES WITH CONSECUTIVE DIGITS
    Wen‐Hui Ai · 2020 · Bulletin of the Australian Mathematical Society
57. Spectral Property of Self-Affine Measures on $$\pmb {\mathbb {R}^n}$$
    Zhiyong Wang, Jing‐Cheng Liu, Juan Su · 2021 · Journal of Fourier Analysis and Applications
58. Convergence of Mock Fourier Series on Generalized Bernoulli Convolutions
    Yan-Song Fu, Min-Wei Tang, Zhi‐Ying Wen · 2022 · Acta Applicandae Mathematicae
59. The Spectrality of Self-affine Measure Under the Similar Transformation of $$GL_n(p)$$
    Jing‐Cheng Liu, Zhiyong Wang · 2023 · Constructive Approximation
60. The Fuglede Conjecture Holds in
    Philipp Birklbauer · 2019 · Experimental Mathematics
61. Spectral hypersurfaces for operator pairs and Hadamard matrices of F type
    Thomas Peebles, Michael Stessin · 2020 · Advances in Operator Theory
62. THE CARDINALITY OF ORTHOGONAL EXPONENTIAL FUNCTIONS ON THE SPATIAL SIERPINSKI GASKET
    Jia Zheng, Jing‐Cheng Liu, Mingliang Chen · 2019 · Fractals
63. Tilings by translation
    Mihail N. Kolountzakis, Máté Matolcsi · 2010 · arXiv (Cornell University)
64. The Fuglede Conjecture holds in \(\F_p^3\) for p=5,7
    Fallon, Thomas, Azita Mayeli, Dominick Villano · 2019 · arXiv (Cornell University)
65. On Gabor orthonormal bases over finite prime fields
    Alex Iosevich, M. N. Kolountzakis, Yurii Lyubarskii, Azita Mayeli, Jonathan Pakianathan · 2020 · Bulletin of the London Mathematical Society
66. The Spectral Eigenmatrix Problems of Planar Self-Affine Measures with Four Digits
    Jing‐Cheng Liu, Min-Wei Tang, Sha Wu · 2022 · Proceedings of the Edinburgh Mathematical Society
67. Periodicity of the Spectrum of a Finite Union of Intervals
    Mihail N. Kolountzakis · 2011 · Journal of Fourier Analysis and Applications
68. Connections between signal processing and complex analylis
    Xavier Massaneda, Joaquim Ortega‐Cerdà, Joaquim Bruna · 2003 · RACO (Revistes Catalanes amb Accés Obert) (Consorci de Serveis Universitaris de Catalunya)
69. Spectral sets and tiles on vector space over local fields
    Mamateli Kadir · 2016 · Journal of Mathematical Analysis and Applications
70. Characterization of a class of planar self-affine tile digit sets
    Li-Xiang An, Ka‐Sing Lau · 2018 · Transactions of the American Mathematical Society
71. LP relaxations and Fuglede's conjecture
    Aditya Siripuram, Brad G. Osgood · 2018 · IEEE International Symposium on Information Theory (ISIT)
72. Spectral properties of self-similar measures with product-form digit sets
    Jing‐Cheng Liu, Rong-Gui Peng, Hai-Hua Wu · 2019 · Journal of Mathematical Analysis and Applications
73. Convolution Idempotents With a Given Zero-Set
    Aditya Siripuram, Brad G. Osgood · 2020 · IEEE Transactions on Signal Processing
74. Spectral property of the planar self-affine measures with three-element digit sets
    Ming-Liang Chen, Jing‐Cheng Liu, Juan Su · 2020 · Forum Mathematicum
75. Spectral properties of some unions of linear spaces
    Chun‐Kit Lai, Bochen Liu, Hal Prince · 2021 · Journal of Functional Analysis
76. Spectral properties of certain Moran measures with consecutive and collinear digit sets
    Hai-Hua Wu, Yu-Min Li, Xin‐Han Dong · 2020 · Forum Mathematicum
77. Spectra of measures and wandering vectors
    Dorin Ervin Dutkay, Palle E. T. Jørgensen · 2015 · Proceedings of the American Mathematical Society
78. Colloquium on Mathematical Music Theory
    Harald Fripertinger, Ludwig Reich · 2005
79. Self-affine spectral measures and frame spectral measures on ${\mathbb R}^d$
    Dorin Ervin Dutkay, Chun‐Kit Lai · 2015 · arXiv (Cornell University)
80. Spectrality of infinite convolutions and random convolutions
    Wenxia Li, Jun Jie Miao, Zhiqiang Wang · 2024 · Journal of Functional Analysis
81. Spectral structure of planar self-similar measures with four-element digit set
    Haixiong Li, Qian Li · 2022 · Journal of Mathematical Analysis and Applications
82. On zeros and spectral property of self-affine measures
    Zhiyong Wang, Jing‐Cheng Liu, Xin‐Han Dong · 2023 · Nonlinearity
83. Spectrality of a class of infinite convolutions on R *
    Sha Wu, Yingqing Xiao · 2024 · Nonlinearity
84. Spectrality of self-affine measures and generalized compatible pairs
    Jian‐Lin Li · 2017 · Monatshefte für Mathematik
85. Spectral sets and weak tiling
    Mihail N. Kolountzakis, Nir Lev, Máté Matolcsi · 2023 · Sampling Theory Signal Processing and Data Analysis
86. On Riesz Bases of Exponentials for Convex Polytopes with Symmetric Faces
    Alberto Debernardi Pinos, Nir Lev · 2021 · Trends in mathematics
87. On spectral eigenvalue problem of a class of generalized Cantor measures
    Zhiyi Wu · 2019 · Journal of Mathematical Analysis and Applications
88. Periodicity and decidability of tilings of $\mathbb{Z}^{2}$
    Siddhartha Bhattacharya · 2016 · arXiv (Cornell University)
89. Analytic aspects of the circulant Hadamard conjecture
    Teodor Banica, Ion Nechita, Jean‐Marc Schlenker · 2014 · Annales mathématiques Blaise Pascal
90. Beurling dimension and a class of Moran measures
    Cong Wang, Min-Min Zhang · 2022 · Chaos Solitons & Fractals
91. Spectral self-similar measures with alternate contraction ratios and consecutive digits
    Hai-Hua Wu · 2024 · Advances in Mathematics
92. Orthogonal Fourier Analysis on domains
    Mihail N. Kolountzakis · 2024 · Expositiones Mathematicae
93. On the Rationality of the Spectrum
    Debashish Bose, Shobha Madan · 2017 · Journal of Fourier Analysis and Applications
94. The Structure of Multiplicative Tilings of the Real Line
    Mihail N. Kolountzakis, Yang Wang · 2018 · Journal of Fourier Analysis and Applications
95. Non-separable Lattices, Gabor Orthonormal Bases and Tilings
    Chun‐Kit Lai, Azita Mayeli · 2019 · Journal of Fourier Analysis and Applications
96. On the orthogonal exponential functions of a class of planar self-affine measures
    Mingliang Chen, Xiangyang Wang, Jia Zheng · 2019 · Journal of Mathematical Analysis and Applications
97. Some results on convolution idempotents
    P Charantej Reddy, Aditya Siripuram, Brad G. Osgood · 2020 · IEEE International Symposium on Information Theory (ISIT)
98. Crystallographic Groups, Strictly Tessellating Polytopes, and Analytic Eigenfunctions
    Julie Rowlett, Max Blom, Henrik Nordell, Oliver Thim, Jack Vahnberg · 2021 · American Mathematical Monthly
99. Spectrality of Cantor–Moran measures with three-element digit sets
    Cong Wang, Feng-Li Yin, Min-Min Zhang · 2023 · Forum Mathematicum
100. SPECTRAL EIGENVALUE PROBLEMS OF SELF-SIMILAR MEASURES WITH CONSECUTIVE DIGITS
     Haixiong Li, Qian Li · 2021 · Fractals