메뉴 건너뛰기




Volumn 6, Issue 2, 1999, Pages 251-255

Fourier bases and a distance problem of Erdos

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033244185     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1999.v6.n2.a13     Document Type: Article
Times cited : (43)

References (21)
  • 2
    • 0009265324 scopus 로고
    • Local harmonic analysis with some applications to differential operators
    • Belfer Graduate School of Science, Yeshiva Univ., New York
    • A. Beurling, Local harmonic analysis with some applications to differential operators, Some Recent Advances in the Basic Sciences, vol. 1, Belfer Graduate School of Science, Yeshiva Univ., New York, 1966, pp. 109-125.
    • (1966) Some Recent Advances in the Basic Sciences , vol.1 , pp. 109-125
    • Beurling, A.1
  • 3
    • 0009122713 scopus 로고    scopus 로고
    • Average decay of fourier transforms and integer points in polyhedra
    • L. Brandolini, L. Colzani, and G. Travaglini, Average decay of Fourier transforms and integer points in polyhedra, Ark. Mat. 35 (1997), 253-275.
    • (1997) Ark. Mat. , vol.35 , pp. 253-275
    • Brandolini, L.1    Colzani, L.2    Travaglini, G.3
  • 4
    • 2442428066 scopus 로고
    • The number of distinct distances determined by a set of points in the Euclidean plane
    • F. Chung, E. Szemerédi, and W. Trotter, The number of distinct distances determined by a set of points in the Euclidean plane, Discrete Comput. Geom. 7 (1992), 1-11.
    • (1992) Discrete Comput. Geom. , vol.7 , pp. 1-11
    • Chung, F.1    Szemerédi, E.2    Trotter, W.3
  • 6
    • 0000314230 scopus 로고
    • On sets of distances of n points
    • P. Erdos, On sets of distances of n points, Amer. Math. Monthly 53 (1946), 248-250.
    • (1946) Amer. Math. Monthly , vol.53 , pp. 248-250
    • Erdos, P.1
  • 7
    • 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. Functional Analysis 16 (1974), 101-121.
    • (1974) J. Functional Analysis , vol.16 , pp. 101-121
    • Fuglede, B.1
  • 8
    • 0001569874 scopus 로고    scopus 로고
    • On Landau's necessary density conditions for sampling and interpolation of band-limited functions
    • K. Gröchenig and H. Razafinjatovo, On Landau's necessary density conditions for sampling and interpolation of band-limited functions, J. London Math. Soc. (2) 54 (1996), 557-565.
    • (1996) J. London Math. Soc. (2) , vol.54 , pp. 557-565
    • Gröchenig, K.1    Razafinjatovo, H.2
  • 9
    • 1842729485 scopus 로고    scopus 로고
    • Spectral and tiling properties of the unit cube
    • A. Iosevich 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
    • Iosevich, A.1    Pedersen, S.2
  • 10
  • 15
    • 84967791495 scopus 로고
    • Keller's cube tiling conjecture is false in high dimensions
    • J. Lagarias and P. Shor, Keller's cube tiling conjecture is false in high dimensions, Bull. Amer. Math. Soc. (N.S.) 27 (1992), 279-283.
    • (1992) Bull. Amer. Math. Soc. (N.S.) , vol.27 , pp. 279-283
    • Lagarias, J.1    Shor, P.2
  • 16
    • 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
  • 17
    • 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
  • 18
    • 0001912021 scopus 로고
    • Ten lectures on the interface between analytic number theory and harmonic analysis
    • Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI
    • H. Montgomery, Ten lectures on the interface between analytic number theory and harmonic analysis, CBMS Regional Conference Series in Mathematics, 84., Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1994.
    • (1994) CBMS Regional Conference Series in Mathematics , vol.84
    • Montgomery, H.1
  • 19
    • 0002186120 scopus 로고
    • On different distances determined by n points
    • L. Moser, On different distances determined by n points, Amer. Math. Monthly 59 (1952), 85-91.
    • (1952) Amer. Math. Monthly , vol.59 , pp. 85-91
    • Moser, L.1
  • 20
    • 0030295762 scopus 로고
    • Spectral sets whose spectrum is a lattice with a base
    • S. Pedersen, Spectral sets whose spectrum is a lattice with a base, J. Funct. Anal. 141 (1992), 496-509.
    • (1992) J. Funct. Anal. , vol.141 , pp. 496-509
    • Pedersen, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.