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Multiple lattice tiles and Riesz bases of exponentials
Autores:
Mihail N. Kolountzakis
Localización:
Proceedings of the American Mathematical Society
,
ISSN
0002-9939,
Vol. 143, Nº 2, 2015
,
págs.
741-747
Idioma:
inglés
DOI
:
10.1090/S0002-9939-2014-12310-0
Texto completo no disponible
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Referencias bibliográficas
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Bálint Farkas and Szilárd Gy. Révész, Tiles with no spectra in dimension 4, Math. Scand. 98 (2006), no. 1, 44–52. MR 2221543, DOI 10.7146/math.scand.a-14982
Bent Fuglede, Commuting self-adjoint partial differential operators and a group theoretic problem, J. Functional Analysis 16 (1974), 101–121....
Nick Gravin, Sinai Robins, and Dmitry Shiryaev, Translational tilings by a polytope, with multiplicity, Combinatorica 32 (2012), no. 6, 629–649....
Sigrid Grepstad and Nir Lev, Multi-tiling and Riesz bases, arXiv preprint arXiv:1212.4679 (2012).
Alex Iosevich, Nets Hawk Katz, and Terry Tao, Convex bodies with a point of curvature do not have Fourier bases, Amer. J. Math. 123 (2001),...
Alex Iosevich, Nets Katz, and Terence Tao, The Fuglede spectral conjecture holds for convex planar domains, Math. Res. Lett. 10 (2003), no....
Mihail N. Kolountzakis and Máté Matolcsi, Complex Hadamard matrices and the spectral set conjecture, Collect. Math. Vol. Extra (2006), 281–291....
M. N. Kolountzakis, On the structure of multiple translational tilings by polygonal regions, Discrete Comput. Geom. 23 (2000), no. 4, 537–553....
Mihail N. Kolountzakis, The study of translational tiling with Fourier analysis, Fourier analysis and convexity, Appl. Numer. Harmon. Anal.,...
Mihail N. Kolountzakis and Máté Matolcsi, Tiles with no spectra, Forum Math. 18 (2006), no. 3, 519–528. MR 2237932, DOI 10.1515/FORUM.2006.026 Gady...
Yurii I. Lyubarskii and Alexander Rashkovskii, Complete interpolating sequences for Fourier transforms supported by convex symmetric polygons,...
Yurii I. Lyubarskii and Kristian Seip, Sampling and interpolating sequences for multiband-limited functions and exponential bases on disconnected...
Jordi Marzo, Riesz basis of exponentials for a union of cubes in {\mathbb R}^d, arXiv preprint math/0601288 (2006).
Basarab Matei and Yves Meyer, Quasicrystals are sets of stable sampling, C. R. Math. Acad. Sci. Paris 346 (2008), no. 23-24, 1235–1238 (English,...
Basarab Matei and Yves Meyer, Simple quasicrystals are sets of stable sampling, Complex Var. Elliptic Equ. 55 (2010), no. 8-10, 947–964. MR...
Alexander Olevskii and Alexander Ulanovskii, On multi-dimensional sampling and interpolation, Anal. Math. Phys. 2 (2012), no. 2, 149–170....
Terence Tao, Fuglede’s conjecture is false in 5 and higher dimensions, Math. Res. Lett. 11 (2004), no. 2-3, 251–258. MR 2067470, DOI 10.4310/MRL.2004.v11.n2.a8
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