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Volumn 123, Issue 1, 2001, Pages 115-120

Convex bodies with a point of curvature do not have fourier bases

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Indexed keywords


EID: 0001678028     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.2001.0003     Document Type: Article
Times cited : (64)

References (11)
  • 1
    • 0009265324 scopus 로고
    • Local harmonic analysis with some applications to differential operators
    • Academic Press, Boston, MA
    • A. Beurling, Local harmonic analysis with some applications to differential operators, Some Recent Advances in the Basic Sciences, vol. 1, Academic Press, Boston, MA, 1966, pp. 109-125.
    • (1966) Some Recent Advances in the Basic Sciences , vol.1 , pp. 109-125
    • Beurling, A.1
  • 2
    • 0000758425 scopus 로고
    • Commuting self-adjoint partial differential operators and a group theoretic problem
    • B. Fuglede, Commuting self-adjoint partial differential operators and a group theoretic problem, J. Funct. Anal. 16 (1974), 101-121.
    • (1974) J. Funct. Anal. , vol.16 , pp. 101-121
    • Fuglede, B.1
  • 3
    • 0010899089 scopus 로고
    • Fourier transforms related to convex sets
    • C. S. Herz, Fourier transforms related to convex sets, Ann. of Math. 75 (1962), 81-92.
    • (1962) Ann. of Math. , vol.75 , pp. 81-92
    • Herz, C.S.1
  • 5
    • 1842729485 scopus 로고    scopus 로고
    • Spectral and tiling properties of the unit cube
    • A. losevich and S. Pedersen, Spectral and tiling properties of the unit cube, Internat. Math Res. Notices 16 (1998), 819-828.
    • (1998) Internat. Math Res. Notices , vol.16 , pp. 819-828
    • Losevich, A.1    Pedersen, S.2
  • 6
    • 27144537301 scopus 로고    scopus 로고
    • How large are the spectral gaps?
    • to appear
    • _, How large are the spectral gaps?, Pacific J. Math, (to appear).
    • Pacific J. Math
  • 8
    • 27144508932 scopus 로고    scopus 로고
    • Spectral pairs in Cartesian coordinates
    • to appear
    • _, Spectral pairs in Cartesian coordinates, J. Fourier Anal. Appl. (to appear).
    • J. Fourier Anal. Appl.
  • 10
    • 0031115862 scopus 로고    scopus 로고
    • Spectral sets and factorizations of finite abelian groups
    • J. Lagarias and Y. Wang, Spectral sets and factorizations of finite abelian groups, J. Funct. Anal. 145 (1997), 73-98.
    • (1997) J. Funct. Anal. , vol.145 , pp. 73-98
    • Lagarias, J.1    Wang, Y.2
  • 11
    • 0002884848 scopus 로고
    • Necessary density conditions for sampling and interpolation of certain entire functions
    • H. Landau, Necessary density conditions for sampling and interpolation of certain entire functions, Acta Math. 117 (1967), 37-52.
    • (1967) Acta Math. , vol.117 , pp. 37-52
    • Landau, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.