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Volumn 7, Issue 1, 2001, Pages 63-70

Universal Spectra and Tijdeman's Conjecture on Factorization of Cyclic Groups

Author keywords

Orthogonal basis; Spectral set; Tiling

Indexed keywords


EID: 0035594102     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00041-001-0005-y     Document Type: Article
Times cited : (27)

References (18)
  • 1
    • 0008980572 scopus 로고
    • On bases for the set of integers
    • de Bruijn, N.G. (1950). On bases for the set of integers, Publ. Math. Debrecen, 1, 232-242.
    • (1950) Publ. Math. Debrecen , vol.1 , pp. 232-242
    • De Bruijn, N.G.1
  • 2
    • 0000443759 scopus 로고
    • On the factorization of cyclic groups
    • de Bruijn, N.G. (1955). On the factorization of cyclic groups, Indag. Math., 17, 370-377.
    • (1955) Indag. Math. , vol.17 , pp. 370-377
    • De Bruijn, N.G.1
  • 3
    • 0033072695 scopus 로고    scopus 로고
    • Tiling the integers with translates of one finite set
    • Coven. E. and Meyerowitz, A. (1999). Tiling the integers with translates of one finite set, J. Algebra, 212, 161-174.
    • (1999) J. Algebra , vol.212 , pp. 161-174
    • Coven, E.1    Meyerowitz, A.2
  • 4
    • 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
  • 5
    • 0000271247 scopus 로고
    • Sur la factorisation des groupes abéliens
    • Hajós, G. (1950). Sur la factorisation des groupes abéliens, Casopis Pěst Mat. Fys., 74, 157-162.
    • (1950) Casopis Pěst Mat. Fys. , vol.74 , pp. 157-162
    • Hajós, G.1
  • 6
    • 1842729485 scopus 로고    scopus 로고
    • Spectral and Tiling Properties of the Unit Cube
    • Iosevich, A. and Pedersen, S. (1998). Spectral and Tiling Properties of the Unit Cube, Int. Math. Res. Notices, 16, 819-828.
    • (1998) Int. Math. Res. Notices , vol.16 , pp. 819-828
    • Iosevich, A.1    Pedersen, S.2
  • 10
    • 0034259550 scopus 로고    scopus 로고
    • Packing, tiling, orthogonality and completeness
    • arXiv math.CA/9904066
    • Kolountzakis, M. (2000). Packing, tiling, orthogonality and completeness, Bull. London Math. Soc., 589-599, arXiv math.CA/9904066.
    • (2000) Bull. London Math. Soc. , pp. 589-599
    • Kolountzakis, M.1
  • 11
    • 0002355528 scopus 로고    scopus 로고
    • Orthonormal bases of exponentials for the n-cube
    • Lagarias, J.C., Reeds, J.A., and Wang, Y. (2000). Orthonormal bases of exponentials for the n-cube, Duke Math. J., 103, 25-37.
    • (2000) Duke Math. J. , vol.103 , pp. 25-37
    • Lagarias, J.C.1    Reeds, J.A.2    Wang, Y.3
  • 12
    • 0040799572 scopus 로고    scopus 로고
    • Tiling the line with translates of one tile
    • Lagarias, J.C. and Wang, Y. (1996). Tiling the line with translates of one tile, Invent. Math., 124, 341-365.
    • (1996) Invent. Math. , vol.124 , pp. 341-365
    • Lagarias, J.C.1    Wang, Y.2
  • 13
    • 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, 73-98.
    • (1997) J. Funct. Anal. , vol.145 , pp. 73-98
    • Lagarias, J.C.1    Wang, Y.2
  • 14
    • 0030295762 scopus 로고    scopus 로고
    • Spectral sets whose spectrum is a lattice with a base
    • Pedersen, S. (1996). Spectral sets whose spectrum is a lattice with a base, J. Funct. Anal., 141, 496-509.
    • (1996) J. Funct. Anal. , vol.141 , pp. 496-509
    • Pedersen, S.1
  • 15
    • 0035538497 scopus 로고    scopus 로고
    • Universal Spectra, Universal Tiling Sets and the Spectral Set Conjecture
    • to appear
    • Pedersen, S. and Wang, Y. (2001) Universal Spectra, Universal Tiling Sets and the Spectral Set Conjecture, Math. Scand., to appear.
    • (2001) Math. Scand.
    • Pedersen, S.1    Wang, Y.2
  • 16
    • 84971915495 scopus 로고
    • On Keller's Conjecture for certain cyclic groups
    • Sands, A.D. (1977). On Keller's Conjecture for certain cyclic groups, Proc. Edinburgh Math. Soc., 22, 17-21.
    • (1977) Proc. Edinburgh Math. Soc. , vol.22 , pp. 17-21
    • Sands, A.D.1
  • 17
    • 0008980002 scopus 로고
    • A type of factorization of finite abelian groups
    • Szabó, S. (1985). A type of factorization of finite abelian groups, Discrete Math., 54, 121-124.
    • (1985) Discrete Math. , vol.54 , pp. 121-124
    • Szabó, S.1
  • 18
    • 0010811775 scopus 로고
    • Decomposition of the integers as a direct sum of two subsets
    • David, S., Ed., Cambridge University Press, Cambridge
    • Tijdeman, R. (1995). Decomposition of the integers as a direct sum of two subsets, in: Number Theory Seminar Paris 1992-1993 David, S., Ed., 261-276. Cambridge University Press, Cambridge.
    • (1995) Number Theory Seminar Paris 1992-1993 , pp. 261-276
    • Tijdeman, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.