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Volumn 2, Issue 4, 2000, Pages 333-371

The Sampling Theorem and Several Equivalent Results in Analysis

Author keywords

Cauchy's integral formula; Complex analysis; Fourier analysis; Poisson's summation formula; Sampling theorem

Indexed keywords


EID: 0345734850     PISSN: 15211398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1010164717587     Document Type: Article
Times cited : (34)

References (21)
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    • (1997) Image Processing; Mathematical Methods and Applications , pp. 45-95
    • Butzer, P.L.1    Nasri-Roudsari, G.2
  • 6
    • 0007259757 scopus 로고
    • Shannon's sampling theorem, Cauchy's integral formula, and related results
    • (P. L. Butzer et al., eds), Birkhäuser, Basel
    • P. L. Butzer, S. Ries, and R. L. Stens, Shannon's sampling theorem, Cauchy's integral formula, and related results, in Anniversary Volume on Approximation Theory and Functional Analysis (P. L. Butzer et al., eds), Birkhäuser, Basel, 1984, pp. 363-377.
    • (1984) Anniversary Volume on Approximation Theory and Functional Analysis , pp. 363-377
    • Butzer, P.L.1    Ries, S.2    Stens, R.L.3
  • 7
    • 0002038798 scopus 로고
    • The sampling theorem and linear prediction in signal analysis, and related results
    • P. L. Butzer, W. Splettstösser, and R. L. Stens, The sampling theorem and linear prediction in signal analysis, and related results, Jahresber. Deutsch. Math. Verein., 90, 1-70 (1988).
    • (1988) Jahresber. Deutsch. Math. Verein. , vol.90 , pp. 1-70
    • Butzer, P.L.1    Splettstösser, W.2    Stens, R.L.3
  • 8
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    • The Euler-MacLaurin summation formula, the sampling theorem, and approximate integration over the real axis
    • P. L. Butzer and R. L. Stens, The Euler-MacLaurin summation formula, the sampling theorem, and approximate integration over the real axis, Lin. Alg. Appl., 52/53, 141-155 (1983).
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    • Butzer, P.L.1    Stens, R.L.2
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    • Elementary methods in the study of the distribution of prime numbers
    • H. G. Diamond, Elementary methods in the study of the distribution of prime numbers, Bull. Amer. Math. Soc., 7, 553-589 (1982).
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    • Diamond, H.G.1
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    • The summation formulae of Poisson, Plana, Euler-Maclaurin and their relationship
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    • Rahman, Q.I.1    Schmeisser, G.2
  • 17
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    • A new interpretation of the sampling theorem and its extensions
    • (G. Nürnberger et al., eds.), Birkhäuser, Basel
    • G. Schmeisser and J. J. Voss, A new interpretation of the sampling theorem and its extensions, in Multivariate Approximation and Splines, (G. Nürnberger et al., eds.), Birkhäuser, Basel, 1997, pp. 275-288.
    • (1997) Multivariate Approximation and Splines , pp. 275-288
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  • 21
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    • Whittaker, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.