Fuglede's conjecture (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Fuglede's conjecture" in English language version.

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9doi.org

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8arxiv.org

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5semanticscholar.org

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4harvard.edu

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arxiv.org

Dutkay, Dorin Ervin; Lai, Chun–Kit (2014). "Some reductions of the spectral set conjecture to integers". Mathematical Proceedings of the Cambridge Philosophical Society. 156 (1): 123–135. arXiv:1301.0814. Bibcode:2014MPCPS.156..123D. doi:10.1017/S0305004113000558. S2CID 119153862.
Tao, Terence (2004). "Fuglede's conjecture is false on 5 or higher dimensions". Mathematical Research Letters. 11 (2–3): 251–258. arXiv:math/0306134. doi:10.4310/MRL.2004.v11.n2.a8. S2CID 8267263.
Farkas, Bálint; Matolcsi, Máté; Móra, Péter (2006). "On Fuglede's conjecture and the existence of universal spectra". Journal of Fourier Analysis and Applications. 12 (5): 483–494. arXiv:math/0612016. Bibcode:2006JFAA...12..483F. doi:10.1007/s00041-005-5069-7. S2CID 15553212.
Kolounzakis, Mihail N.; Matolcsi, Máté (2006). "Tiles with no spectra". Forum Mathematicum. 18 (3): 519–528. arXiv:math/0406127. Bibcode:2004math......6127K.
Kolounzakis, Mihail N.; Matolcsi, Máté (2006). "Complex Hadamard Matrices and the spectral set conjecture". Collectanea Mathematica. Extra: 281–291. arXiv:math/0411512. Bibcode:2004math.....11512K.
Iosevich, Alex; Mayeli, Azita; Pakianathan, Jonathan (2017). "The Fuglede Conjecture holds in Zp×Zp". Analysis & PDE. 10 (4): 757–764. arXiv:1505.00883. doi:10.2140/apde.2017.10.757.
Greenfeld, Rachel; Lev, Nir (2017). "Fuglede's spectral set conjecture for convex polytopes". Analysis & PDE. 10 (6): 1497–1538. arXiv:1602.08854. doi:10.2140/apde.2017.10.1497. S2CID 55748258.
Lev, Nir; Matolcsi, Máté (2022). "The Fuglede conjecture for convex domains is true in all dimensions". Acta Mathematica. 228 (2): 385–420. arXiv:1904.12262. doi:10.4310/ACTA.2022.v228.n2.a3. S2CID 139105387.

doi.org

Fuglede, Bent (1974). "Commuting self-adjoint partial differential operators and a group theoretic problem". Journal of Functional Analalysis. 16: 101–121. doi:10.1016/0022-1236(74)90072-X.
Dutkay, Dorin Ervin; Lai, Chun–Kit (2014). "Some reductions of the spectral set conjecture to integers". Mathematical Proceedings of the Cambridge Philosophical Society. 156 (1): 123–135. arXiv:1301.0814. Bibcode:2014MPCPS.156..123D. doi:10.1017/S0305004113000558. S2CID 119153862.
Iosevich, Alex; Katz, Nets; Terence, Tao (2003). "The Fuglede spectral conjecture hold for convex planar domains". Mathematical Research Letters. 10 (5–6): 556–569. doi:10.4310/MRL.2003.v10.n5.a1.
Tao, Terence (2004). "Fuglede's conjecture is false on 5 or higher dimensions". Mathematical Research Letters. 11 (2–3): 251–258. arXiv:math/0306134. doi:10.4310/MRL.2004.v11.n2.a8. S2CID 8267263.
Farkas, Bálint; Matolcsi, Máté; Móra, Péter (2006). "On Fuglede's conjecture and the existence of universal spectra". Journal of Fourier Analysis and Applications. 12 (5): 483–494. arXiv:math/0612016. Bibcode:2006JFAA...12..483F. doi:10.1007/s00041-005-5069-7. S2CID 15553212.
Matolcsi, Máté (2005). "Fuglede's conjecture fails in dimension 4". Proceedings of the American Mathematical Society. 133 (10): 3021–3026. doi:10.1090/S0002-9939-05-07874-3.
Iosevich, Alex; Mayeli, Azita; Pakianathan, Jonathan (2017). "The Fuglede Conjecture holds in Zp×Zp". Analysis & PDE. 10 (4): 757–764. arXiv:1505.00883. doi:10.2140/apde.2017.10.757.
Greenfeld, Rachel; Lev, Nir (2017). "Fuglede's spectral set conjecture for convex polytopes". Analysis & PDE. 10 (6): 1497–1538. arXiv:1602.08854. doi:10.2140/apde.2017.10.1497. S2CID 55748258.
Lev, Nir; Matolcsi, Máté (2022). "The Fuglede conjecture for convex domains is true in all dimensions". Acta Mathematica. 228 (2): 385–420. arXiv:1904.12262. doi:10.4310/ACTA.2022.v228.n2.a3. S2CID 139105387.

harvard.edu

ui.adsabs.harvard.edu

Dutkay, Dorin Ervin; Lai, Chun–Kit (2014). "Some reductions of the spectral set conjecture to integers". Mathematical Proceedings of the Cambridge Philosophical Society. 156 (1): 123–135. arXiv:1301.0814. Bibcode:2014MPCPS.156..123D. doi:10.1017/S0305004113000558. S2CID 119153862.
Farkas, Bálint; Matolcsi, Máté; Móra, Péter (2006). "On Fuglede's conjecture and the existence of universal spectra". Journal of Fourier Analysis and Applications. 12 (5): 483–494. arXiv:math/0612016. Bibcode:2006JFAA...12..483F. doi:10.1007/s00041-005-5069-7. S2CID 15553212.
Kolounzakis, Mihail N.; Matolcsi, Máté (2006). "Tiles with no spectra". Forum Mathematicum. 18 (3): 519–528. arXiv:math/0406127. Bibcode:2004math......6127K.
Kolounzakis, Mihail N.; Matolcsi, Máté (2006). "Complex Hadamard Matrices and the spectral set conjecture". Collectanea Mathematica. Extra: 281–291. arXiv:math/0411512. Bibcode:2004math.....11512K.

semanticscholar.org

api.semanticscholar.org

Dutkay, Dorin Ervin; Lai, Chun–Kit (2014). "Some reductions of the spectral set conjecture to integers". Mathematical Proceedings of the Cambridge Philosophical Society. 156 (1): 123–135. arXiv:1301.0814. Bibcode:2014MPCPS.156..123D. doi:10.1017/S0305004113000558. S2CID 119153862.
Tao, Terence (2004). "Fuglede's conjecture is false on 5 or higher dimensions". Mathematical Research Letters. 11 (2–3): 251–258. arXiv:math/0306134. doi:10.4310/MRL.2004.v11.n2.a8. S2CID 8267263.
Farkas, Bálint; Matolcsi, Máté; Móra, Péter (2006). "On Fuglede's conjecture and the existence of universal spectra". Journal of Fourier Analysis and Applications. 12 (5): 483–494. arXiv:math/0612016. Bibcode:2006JFAA...12..483F. doi:10.1007/s00041-005-5069-7. S2CID 15553212.
Greenfeld, Rachel; Lev, Nir (2017). "Fuglede's spectral set conjecture for convex polytopes". Analysis & PDE. 10 (6): 1497–1538. arXiv:1602.08854. doi:10.2140/apde.2017.10.1497. S2CID 55748258.
Lev, Nir; Matolcsi, Máté (2022). "The Fuglede conjecture for convex domains is true in all dimensions". Acta Mathematica. 228 (2): 385–420. arXiv:1904.12262. doi:10.4310/ACTA.2022.v228.n2.a3. S2CID 139105387.