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Volumn 159, Issue 1, 2009, Pages 128-153

On the sampling and recovery of bandlimited functions via scattered translates of the Gaussian

Author keywords

Bandlimited functions; Gaussian interpolation; Scattered data

Indexed keywords


EID: 67349164386     PISSN: 00219045     EISSN: 10960430     Source Type: Journal    
DOI: 10.1016/j.jat.2009.02.007     Document Type: Article
Times cited : (22)

References (17)
  • 1
    • 67349111153 scopus 로고    scopus 로고
    • Cardinal interpolation by Gaussian functions: A survey
    • Riemenschneider S.D., and Sivakumar N. Cardinal interpolation by Gaussian functions: A survey. J. Anal. 8 (2000) 157-178
    • (2000) J. Anal. , vol.8 , pp. 157-178
    • Riemenschneider, S.D.1    Sivakumar, N.2
  • 2
    • 0000918026 scopus 로고
    • The recovery of irregularly sampled band limited functions via tempered splines
    • Lyubarskii Yu., and Madych W.R. The recovery of irregularly sampled band limited functions via tempered splines. J. Funct. Anal. 125 (1994) 201-222
    • (1994) J. Funct. Anal. , vol.125 , pp. 201-222
    • Lyubarskii, Yu.1    Madych, W.R.2
  • 5
    • 0030269018 scopus 로고    scopus 로고
    • On shifted cardinal interpolation by Gaussians and multiquadrics
    • Baxter B.J.C., and Sivakumar N. On shifted cardinal interpolation by Gaussians and multiquadrics. J. Approx. Theory 87 (1996) 36-59
    • (1996) J. Approx. Theory , vol.87 , pp. 36-59
    • Baxter, B.J.C.1    Sivakumar, N.2
  • 6
    • 0001735585 scopus 로고
    • Multivariate cardinal interpolation
    • Chui C.K., Schumaker L.L., and Ward J.D. (Eds), Academic Press, Boston, MA
    • Riemenschneider S.D. Multivariate cardinal interpolation. In: Chui C.K., Schumaker L.L., and Ward J.D. (Eds). Approximation Theory VI, Vol. II (1989), Academic Press, Boston, MA 561-580
    • (1989) Approximation Theory VI, Vol. II , pp. 561-580
    • Riemenschneider, S.D.1
  • 7
    • 0039035956 scopus 로고    scopus 로고
    • On cardinal interpolation by Gaussian radial-basis functions: Properties of fundamental functions and estimates for Lebesgue constants
    • Riemenschneider S.D., and Sivakumar N. On cardinal interpolation by Gaussian radial-basis functions: Properties of fundamental functions and estimates for Lebesgue constants. J. Anal. Math. 79 (1999) 33-61
    • (1999) J. Anal. Math. , vol.79 , pp. 33-61
    • Riemenschneider, S.D.1    Sivakumar, N.2
  • 8
    • 33746131152 scopus 로고
    • On condition numbers associated with radial-function interpolation
    • Narcowich F.J., Sivakumar N., and Ward J.D. On condition numbers associated with radial-function interpolation. J. Math. Anal. Appl. 186 (1994) 457-485
    • (1994) J. Math. Anal. Appl. , vol.186 , pp. 457-485
    • Narcowich, F.J.1    Sivakumar, N.2    Ward, J.D.3
  • 9
    • 38249012211 scopus 로고
    • Norm estimates for the inverses of a general class of scattered-data radial-function interpolation matrices
    • Narcowich F.J., and Ward J.D. Norm estimates for the inverses of a general class of scattered-data radial-function interpolation matrices. J. Approx. Theory 69 (1992) 84-109
    • (1992) J. Approx. Theory , vol.69 , pp. 84-109
    • Narcowich, F.J.1    Ward, J.D.2
  • 11
    • 0007197031 scopus 로고
    • Propriétés des matrices "bien localisées" près de leur diagonale et quelques applications
    • Jaffard S. Propriétés des matrices "bien localisées" près de leur diagonale et quelques applications. Ann. Inst. H. Poincaré 7 (1990) 461-476
    • (1990) Ann. Inst. H. Poincaré , vol.7 , pp. 461-476
    • Jaffard, S.1
  • 12
    • 0039966633 scopus 로고
    • Odd-degree spline interpolation at a bi-infinite knot sequence
    • Approximation Theory. Schaback R., and Scherer K. (Eds), Springer-Verlag, Berlin
    • de Boor C. Odd-degree spline interpolation at a bi-infinite knot sequence. In: Schaback R., and Scherer K. (Eds). Approximation Theory. Lecture Notes in Mathematics vol. 556 (1976), Springer-Verlag, Berlin 30-53
    • (1976) Lecture Notes in Mathematics , vol.556 , pp. 30-53
    • de Boor, C.1
  • 15
    • 0040641550 scopus 로고
    • The exact value of the Paley-Wiener constant
    • Kadec M.I. The exact value of the Paley-Wiener constant. Dokl. Akad. Nauk SSSR 155 (1964) 1243-1254
    • (1964) Dokl. Akad. Nauk SSSR , vol.155 , pp. 1243-1254
    • Kadec, M.I.1
  • 16
    • 44349124816 scopus 로고
    • On non-harmonic Fourier series
    • Levinson N. On non-harmonic Fourier series. Ann. of Math. 37 (1936) 919-936
    • (1936) Ann. of Math. , vol.37 , pp. 919-936
    • Levinson, N.1
  • 17
    • 84943458546 scopus 로고
    • A sampling theorem for irregularly spaced sample points
    • Higgins J.R. A sampling theorem for irregularly spaced sample points. IEEE Trans. Inform. Theory (1976) 621-622
    • (1976) IEEE Trans. Inform. Theory , pp. 621-622
    • Higgins, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.