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Volumn 27, Issue 3, 2009, Pages 351-366

Nonlinear inversion of a band-limited Fourier transform

Author keywords

Approximation by exponentials; Approximation by rational functions; Band limited Fourier transform; Discrete Fourier transform; Filtering; Windows

Indexed keywords

APPROXIMATION BY EXPONENTIALS; COMPACTLY SUPPORTED FUNCTION; DENSITY OF STATE; EIGENVALUES; EXPONENTIAL SUMS; EXPONENTIALS; FILTERING; FOURIER; FOURIER COEFFICIENTS; FOURIER DATA; GIBBS PHENOMENA; HERMITIAN OPERATORS; INVERSE FOURIER TRANSFORMS; NON LINEAR INVERSION; NUMERICAL EXAMPLE; POLYNOMIAL METHODS; RATIONAL FUNCTION; RATIONAL REPRESENTATION; REAL LINE; SPATIAL DOMAINS;

EID: 69949130189     PISSN: 10635203     EISSN: 1096603X     Source Type: Journal    
DOI: 10.1016/j.acha.2009.04.003     Document Type: Letter
Times cited : (38)

References (18)
  • 1
    • 34250537473 scopus 로고
    • Infinite Hankel matrices and generalized Carathéodory-Fejér and I. Schur problems
    • Adamjan V.M., Arov D.Z., and Kreǐn M.G. Infinite Hankel matrices and generalized Carathéodory-Fejér and I. Schur problems. Funktsional. Anal. i Prilozhen. 2 4 (1968) 1-17
    • (1968) Funktsional. Anal. i Prilozhen. , vol.2 , Issue.4 , pp. 1-17
    • Adamjan, V.M.1    Arov, D.Z.2    Kreǐn, M.G.3
  • 2
    • 34250537473 scopus 로고
    • Infinite Hankel matrices and generalized problems of Carathéodory-Fejér and F. Riesz
    • Adamjan V.M., Arov D.Z., and Kreǐn M.G. Infinite Hankel matrices and generalized problems of Carathéodory-Fejér and F. Riesz. Funktsional. Anal. i Prilozhen. 2 1 (1968) 1-19
    • (1968) Funktsional. Anal. i Prilozhen. , vol.2 , Issue.1 , pp. 1-19
    • Adamjan, V.M.1    Arov, D.Z.2    Kreǐn, M.G.3
  • 3
    • 0001869162 scopus 로고
    • Analytic properties of the Schmidt pairs of a Hankel operator and the generalized Schur-Takagi problem
    • Adamjan V.M., Arov D.Z., and Kreǐn M.G. Analytic properties of the Schmidt pairs of a Hankel operator and the generalized Schur-Takagi problem. Mat. Sb. (N.S.) 86 128 (1971) 34-75
    • (1971) Mat. Sb. (N.S.) , vol.86 , Issue.128 , pp. 34-75
    • Adamjan, V.M.1    Arov, D.Z.2    Kreǐn, M.G.3
  • 4
    • 3943060186 scopus 로고    scopus 로고
    • On generalized Gaussian quadratures for exponentials and their applications
    • Beylkin G., and Monzón L. On generalized Gaussian quadratures for exponentials and their applications. Appl. Comput. Harmon. Anal. 12 3 (2002) 332-373
    • (2002) Appl. Comput. Harmon. Anal. , vol.12 , Issue.3 , pp. 332-373
    • Beylkin, G.1    Monzón, L.2
  • 5
    • 20144378897 scopus 로고    scopus 로고
    • On approximation of functions by exponential sums
    • Beylkin G., and Monzón L. On approximation of functions by exponential sums. Appl. Comput. Harmon. Anal. 19 1 (2005) 17-48
    • (2005) Appl. Comput. Harmon. Anal. , vol.19 , Issue.1 , pp. 17-48
    • Beylkin, G.1    Monzón, L.2
  • 6
    • 0026907997 scopus 로고
    • On one-sided filters for spectral Fourier approximations of discontinuous functions
    • Cai W., Gottlieb D., and Shu C.-W. On one-sided filters for spectral Fourier approximations of discontinuous functions. SIAM J. Numer. Anal. 29 4 (1992) 905-916
    • (1992) SIAM J. Numer. Anal. , vol.29 , Issue.4 , pp. 905-916
    • Cai, W.1    Gottlieb, D.2    Shu, C.-W.3
  • 7
    • 21844495790 scopus 로고
    • Accurate reconstructions of functions of finite regularity from truncated Fourier series expansions
    • Eckhoff K.S. Accurate reconstructions of functions of finite regularity from truncated Fourier series expansions. Math. Comp. 64 210 (1995) 671-690
    • (1995) Math. Comp. , vol.64 , Issue.210 , pp. 671-690
    • Eckhoff, K.S.1
  • 8
    • 0034260319 scopus 로고    scopus 로고
    • A hybrid approach to spectral reconstruction of piecewise smooth functions
    • Gelb A. A hybrid approach to spectral reconstruction of piecewise smooth functions. J. Sci. Comput. 15 3 (2000) 293-322
    • (2000) J. Sci. Comput. , vol.15 , Issue.3 , pp. 293-322
    • Gelb, A.1
  • 9
    • 0000994152 scopus 로고    scopus 로고
    • Detection of edges in spectral data
    • Gelb A., and Tadmor E. Detection of edges in spectral data. Appl. Comput. Harmon. Anal. 7 1 (1999) 101-135
    • (1999) Appl. Comput. Harmon. Anal. , vol.7 , Issue.1 , pp. 101-135
    • Gelb, A.1    Tadmor, E.2
  • 10
    • 32044450058 scopus 로고    scopus 로고
    • Robust reprojection methods for the resolution of the Gibbs phenomenon
    • Gelb A., and Tanner J. Robust reprojection methods for the resolution of the Gibbs phenomenon. Appl. Comput. Harmon. Anal. 20 1 (2006) 3-25
    • (2006) Appl. Comput. Harmon. Anal. , vol.20 , Issue.1 , pp. 3-25
    • Gelb, A.1    Tanner, J.2
  • 11
    • 0031381548 scopus 로고    scopus 로고
    • On the Gibbs phenomenon and its resolution
    • Gottlieb D., and Shu C.-W. On the Gibbs phenomenon and its resolution. SIAM Rev. 39 4 (1997) 644-668
    • (1997) SIAM Rev. , vol.39 , Issue.4 , pp. 644-668
    • Gottlieb, D.1    Shu, C.-W.2
  • 12
    • 22844455929 scopus 로고    scopus 로고
    • On the detection of singularities of a periodic function
    • Mhaskar H.N., and Prestin J. On the detection of singularities of a periodic function. Adv. Comput. Math. 12 (2000) 95-131
    • (2000) Adv. Comput. Math. , vol.12 , pp. 95-131
    • Mhaskar, H.N.1    Prestin, J.2
  • 13
    • 55649086208 scopus 로고    scopus 로고
    • Polynomial operators for spectral approximation of piecewise analytic functions
    • Mhaskar H.N., and Prestin J. Polynomial operators for spectral approximation of piecewise analytic functions. Appl. Comput. Harmon. Anal. 26 (2009) 121-142
    • (2009) Appl. Comput. Harmon. Anal. , vol.26 , pp. 121-142
    • Mhaskar, H.N.1    Prestin, J.2
  • 15
    • 0000177345 scopus 로고    scopus 로고
    • Calculation of densities of states and spectral functions by Chebyshev recursion and maximum entropy
    • Silver R.N., and Roder H. Calculation of densities of states and spectral functions by Chebyshev recursion and maximum entropy. Phys. Rev. E 56 4 (1997) 4822-4829
    • (1997) Phys. Rev. E , vol.56 , Issue.4 , pp. 4822-4829
    • Silver, R.N.1    Roder, H.2
  • 16
    • 34547400633 scopus 로고    scopus 로고
    • Fast and accurate scheme for Green functions and eigenvectors: Regulated polynomial expansion without Gibbs oscillation
    • Sota S., and Itoh M. Fast and accurate scheme for Green functions and eigenvectors: Regulated polynomial expansion without Gibbs oscillation. J. Phys. Soc. Jpn. 76 5 (2007)
    • (2007) J. Phys. Soc. Jpn. , vol.76 , Issue.5
    • Sota, S.1    Itoh, M.2
  • 17
    • 35348892228 scopus 로고    scopus 로고
    • Filters, mollifiers and the computation of the Gibbs phenomenon
    • Tadmor E. Filters, mollifiers and the computation of the Gibbs phenomenon. Acta Numer. 16 (2007) 305-378
    • (2007) Acta Numer. , vol.16 , pp. 305-378
    • Tadmor, E.1
  • 18
    • 0013002864 scopus 로고    scopus 로고
    • Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information
    • Tadmor E., and Tanner J. Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information. Found. Comput. Math. 2 2 (2002) 155-189
    • (2002) Found. Comput. Math. , vol.2 , Issue.2 , pp. 155-189
    • Tadmor, E.1    Tanner, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.