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Volumn 12, Issue 5, 2006, Pages 483-494

On Fuglede's conjecture and the existence of universal spectra

Author keywords

Fuglede's conjecture; Spectral sets; Translational tiles; Universal spectrum

Indexed keywords


EID: 33750501142     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00041-005-5069-7     Document Type: Article
Times cited : (112)

References (18)
  • 1
    • 0033072695 scopus 로고    scopus 로고
    • Tiling the integers with translates of one finite set
    • Coven, E. M. and Meyerowitz, A, (1999). Tiling the integers with translates of one finite set, J. Algebra 212(1), 161-174.
    • (1999) J. Algebra , vol.212 , Issue.1 , pp. 161-174
    • Coven, E.M.1    Meyerowitz, A.2
  • 2
    • 33646800548 scopus 로고    scopus 로고
    • Tiles with no spectra in dimension 4
    • Farkas, B. and Révész, Sz. Gy. (2006). Tiles with no spectra in dimension 4, Math. Scand. 98(1 ), 44-52.
    • (2006) Math. Scand. , vol.98 , Issue.1 , pp. 44-52
    • Farkas, B.1    Révész, Sz.Gy.2
  • 3
    • 0000758425 scopus 로고
    • Commuting self-adjoint partial differential operators and a group theoretic problem
    • Fuglede, B. (1974). Commuting self-adjoint partial differential operators and a group theoretic problem, J. Funct. Anal. 16, 101-121.
    • (1974) J. Funct. Anal. , vol.16 , pp. 101-121
    • Fuglede, B.1
  • 4
    • 0742306050 scopus 로고    scopus 로고
    • The Fuglede spectral conjecture holds for convex planar domains
    • Iosevich, A., Katz, N., and Tao, T. (2003). The Fuglede spectral conjecture holds for convex planar domains, Math. Res. Lett. 10(5-6), 559-569.
    • (2003) Math. Res. Lett. , vol.10 , Issue.5-6 , pp. 559-569
    • Iosevich, A.1    Katz, N.2    Tao, T.3
  • 5
    • 0001678028 scopus 로고    scopus 로고
    • Convex bodies with a point of curvature do not have Fourier bases
    • Iosevich, A., Katz, N. H., and Tao, T. (2001). Convex bodies with a point of curvature do not have Fourier bases, Amer. J. Math. 123(1), 115-120.
    • (2001) Amer. J. Math. , vol.123 , Issue.1 , pp. 115-120
    • Iosevich, A.1    Katz, N.H.2    Tao, T.3
  • 6
    • 0034259257 scopus 로고    scopus 로고
    • Nonsymmetric convex domains have no basis of exponentials
    • Kolountzakis, M. N. (2000). Nonsymmetric convex domains have no basis of exponentials, Illinois J. Math. 44(3), 542-550.
    • (2000) Illinois J. Math. , vol.44 , Issue.3 , pp. 542-550
    • Kolountzakis, M.N.1
  • 8
    • 33750530172 scopus 로고    scopus 로고
    • Complex Hadamard matrices and the spectral set conjecture
    • Kolountzakis, M. N. and Matolcsi, M. (2006). Complex Hadamard matrices and the spectral set conjecture, Collect. Math. Vol. Extra, 281-291.
    • (2006) Collect. Math. , vol.EXTRA , pp. 281-291
    • Kolountzakis, M.N.1    Matolcsi, M.2
  • 9
    • 0346273564 scopus 로고    scopus 로고
    • Spectra of certain types of polynomials and tiling of integers with translates of finite sets
    • Konyagin, S. and Laba, I. (2003). Spectra of certain types of polynomials and tiling of integers with translates of finite sets, J. Number Theory 103(2), 267-280.
    • (2003) J. Number Theory , vol.103 , Issue.2 , pp. 267-280
    • Konyagin, S.1    Laba, I.2
  • 10
    • 23044531025 scopus 로고    scopus 로고
    • Fuglede's conjecture for a union of two intervals
    • electronic
    • Laba, I. (2001). Fuglede's conjecture for a union of two intervals. Proc. Amer. Math. Soc. 129(10), 2965-2972 (electronic).
    • (2001) Proc. Amer. Math. Soc. , vol.129 , Issue.10 , pp. 2965-2972
    • Laba, I.1
  • 11
    • 0036401715 scopus 로고    scopus 로고
    • The spectral set conjecture and multiplicative properties of roots of polynomials
    • Laba, I. (2002). The spectral set conjecture and multiplicative properties of roots of polynomials, J. London Math. Soc. (2) 65(3), 661-671.
    • (2002) J. London Math. Soc. (2) , vol.65 , Issue.3 , pp. 661-671
    • Laba, I.1
  • 13
    • 0035594102 scopus 로고    scopus 로고
    • Universal spectra and Tijdeman's conjecture on factorization of cyclic groups
    • Lagarias, J.C. and Szabó, S. (2001). Universal spectra and Tijdeman's conjecture on factorization of cyclic groups, J. Fourier Anal. Appl. 7(1), 63-70.
    • (2001) J. Fourier Anal. Appl. , vol.7 , Issue.1 , pp. 63-70
    • Lagarias, J.C.1    Szabó, S.2
  • 14
    • 0031115862 scopus 로고    scopus 로고
    • Spectral sets and factorizations of finite abelian groups
    • Lagarias, J. C. and Wang, Y. (1997). Spectral sets and factorizations of finite abelian groups, J. Funct. Anal. 145(1), 73-98.
    • (1997) J. Funct. Anal. , vol.145 , Issue.1 , pp. 73-98
    • Lagarias, J.C.1    Wang, Y.2
  • 15
    • 26444500165 scopus 로고    scopus 로고
    • Fuglede's conjecture fails in dimension 4
    • Matolcsi, M. (2005). Fuglede's conjecture fails in dimension 4, Proc. Amer. Math. Soc. 133(10), 3021-3026.
    • (2005) Proc. Amer. Math. Soc. , vol.133 , Issue.10 , pp. 3021-3026
    • Matolcsi, M.1
  • 16
    • 0035538497 scopus 로고    scopus 로고
    • Universal spectra, universal tiling sets and the spectral set conjecture
    • Pedersen, S. and Wang, Y. (2001). Universal spectra, universal tiling sets and the spectral set conjecture, Math. Scand. 88(2), 246-256.
    • (2001) Math. Scand. , vol.88 , Issue.2 , pp. 246-256
    • Pedersen, S.1    Wang, Y.2
  • 18
    • 3543047338 scopus 로고    scopus 로고
    • Fuglede's conjecture is false in 5 and higher dimensions
    • Tao, T. (2004). Fuglede's conjecture is false in 5 and higher dimensions, Math. Res. Lett. 11(2-3), 251-258.
    • (2004) Math. Res. Lett. , vol.11 , Issue.2-3 , pp. 251-258
    • Tao, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.