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Volumn 14, Issue 3, 1998, Pages 519-560

Average decay of Fourier transforms and geometry of convex sets

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EID: 0032263455     PISSN: 02132230     EISSN: 22350616     Source Type: Journal    
DOI: 10.4171/RMI/244     Document Type: Article
Times cited : (25)

References (19)
  • 1
    • 0042422871 scopus 로고
    • Fourier transform of characteristic functions and Lebesgue constants for multiple Fourier series
    • Brandolini, L., Fourier transform of characteristic functions and Lebesgue constants for multiple Fourier series. Colloq. Math. 65 (1993), 51-59.
    • (1993) Colloq. Math. , vol.65 , pp. 51-59
    • Brandolini, L.1
  • 3
    • 0009122713 scopus 로고    scopus 로고
    • Average decay of Fourier transforms and integer points in polyhedra
    • Brandolini, L., Colzani, L., Travaglini, G., Average decay of Fourier transforms and integer points in polyhedra. Arkiv. Math. 35 (1997), 253-275.
    • (1997) Arkiv. Math. , vol.35 , pp. 253-275
    • Brandolini, L.1    Colzani, L.2    Travaglini, G.3
  • 4
    • 0031285640 scopus 로고    scopus 로고
    • Pointwise convergence of Fejer type means
    • Brandolini, L., Travaglini, G., Pointwise convergence of Fejer type means. Tohoku Math. J. 49 (1997), 323-336.
    • (1997) Tohoku Math. J. , vol.49 , pp. 323-336
    • Brandolini, L.1    Travaglini, G.2
  • 5
    • 0000724171 scopus 로고
    • Convex hypersurfaces and Fourier transforms
    • Bruna, J., Nagel, A., Wainger, S., Convex hypersurfaces and Fourier transforms. Ann. of Math. 127 (1988), 333-365.
    • (1988) Ann. of Math. , vol.127 , pp. 333-365
    • Bruna, J.1    Nagel, A.2    Wainger, S.3
  • 7
    • 0013509226 scopus 로고
    • On Dirichlet's divisor problem
    • Hardy, G., On Dirichlet's divisor problem. Proc. London Math. Soc. 15 (1916), 1-25.
    • (1916) Proc. London Math. Soc. , vol.15 , pp. 1-25
    • Hardy, G.1
  • 10
    • 0002024703 scopus 로고
    • On the number of lattice points in a random oval
    • Kendall, D. G., On the number of lattice points in a random oval. Quart. J. Math. Oxford Ser. 19 (1948), 1-26.
    • (1948) Quart. J. Math. Oxford Ser. , vol.19 , pp. 1-26
    • Kendall, D.G.1
  • 11
  • 12
    • 0001912021 scopus 로고
    • Ten lessons on the interface between analytic number theory and harmonic analysis
    • American Mathematical Society
    • Montgomery, H. L., Ten lessons on the interface between analytic number theory and harmonic analysis. CBMS Regional Conference Series in Mathematics. 84, American Mathematical Society, 1994.
    • (1994) CBMS Regional Conference Series in Mathematics , vol.84
    • Montgomery, H.L.1
  • 13
    • 0040859996 scopus 로고
    • The asymptotic of a Fourier transform on a convex curve
    • Podkorytov, A. N., The asymptotic of a Fourier transform on a convex curve. Vestn. Leningr. Univ. Mat. 24 (1991), 57-65.
    • (1991) Vestn. Leningr. Univ. Mat. , vol.24 , pp. 57-65
    • Podkorytov, A.N.1
  • 14
    • 84968496217 scopus 로고
    • On the Fourier transform of the indicator function of a planar set
    • Randol, B., On the Fourier transform of the indicator function of a planar set. Trans. Amer. Math. Soc. 139 (1969), 279-285.
    • (1969) Trans. Amer. Math. Soc. , vol.139 , pp. 279-285
    • Randol, B.1
  • 15
    • 84966245673 scopus 로고
    • On the asymptotic behaviour of the Fourier transform of the indicator function of a convex set
    • Randol, B., On the asymptotic behaviour of the Fourier transform of the indicator function of a convex set. Trans. Amer. Math. Soc. 139 (1969), 271-278.
    • (1969) Trans. Amer. Math. Soc. , vol.139 , pp. 271-278
    • Randol, B.1
  • 17
    • 51249172341 scopus 로고
    • The convex floating body and polyhedral approximation
    • Schütt, C., The convex floating body and polyhedral approximation. Israel J. Math. 73 (1991), 65-77.
    • (1991) Israel J. Math. , vol.73 , pp. 65-77
    • Schütt, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.