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Volumn 15, Issue 1-2, 1994, Pages 1-21

Sampling procedures in function spaces and asymptotic equivalence with shannon’s sampling theory

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EID: 84941053642     PISSN: 01630563     EISSN: 15322467     Source Type: Journal    
DOI: 10.1080/01630569408816545     Document Type: Article
Times cited : (193)

References (27)
  • 1
    • 0003796630 scopus 로고
    • Academic Press, New York
    • R. Adams, Sobolev spaces, Academic Press, New York, 1975.
    • (1975) Sobolev spaces
    • Adams, R.1
  • 2
    • 84963429212 scopus 로고
    • Families of multiresolution and wavelet spaces with optimal properties
    • A. Aldroubi and M. Unser, Families of multiresolution and wavelet spaces with optimal properties, Numer. Fund. Anal. Optimiz., 14 (1993), 417–446.
    • (1993) Numer. Fund. Anal. Optimiz , vol.14 , pp. 417-446
    • Aldroubi, A.1    Unser, M.2
  • 4
    • 0026910575 scopus 로고
    • Cardinal spline filters: stability and convergence to the ideal sinc interpolator
    • A. Aldroubi, M. Unser and M. Eden, Cardinal spline filters: stability and convergence to the ideal sinc interpolator, Signal Processing 28 (1992), 127–138.
    • (1992) Signal Processing , vol.28 , pp. 127-138
    • Aldroubi, A.1    Unser, M.2    Eden, M.3
  • 5
    • 0002237285 scopus 로고
    • in Wavelets—A tutorial in theory and applications, C.K. Chui, ed., Academic Press, Orlando
    • J.J. Benedetto, Irregular sampling and frames, in Wavelets—A tutorial in theory and applications, C.K. Chui, ed., Academic Press, Orlando, 1992, 445–507.
    • (1992) Irregular sampling and frames , pp. 445-507
    • Benedetto, J.J.1
  • 6
    • 0000585463 scopus 로고
    • Optimal prefiltering of sampled data
    • W.M. Brown, Optimal prefiltering of sampled data, IRE Trans. Inform. Theory 7 (1961), 269–270.
    • (1961) IRE Trans. Inform. Theory , vol.7 , pp. 269-270
    • Brown, W.M.1
  • 7
    • 0001114755 scopus 로고
    • A survey of the Whittaker-Shannon sampling theorem and some of its extensions
    • P.L. Butzer, A survey of the Whittaker-Shannon sampling theorem and some of its extensions, J. Math. Res. Exposition 3 (1983), 185–212.
    • (1983) J. Math. Res. Exposition , vol.3 , pp. 185-212
    • Butzer, P.L.1
  • 10
    • 0000293183 scopus 로고
    • Theory of communication
    • D. Gabor, Theory of communication, J. IEE 93 (1945), 429–441.
    • (1945) J. IEE , vol.93 , pp. 429-441
    • Gabor, D.1
  • 11
    • 84968515233 scopus 로고
    • Five short stories about the cardinal series
    • J.R. Higgins, Five short stories about the cardinal series, Bull. Amer. Math. Soc. 121, (1985), 45–89.
    • (1985) Bull. Amer. Math. Soc , vol.121 , pp. 45-89
    • Higgins, J.R.1
  • 12
    • 0020734663 scopus 로고
    • Sampling for spline reconstruction
    • R. Hummel, Sampling for spline reconstruction, SIAM J. Appl. Math. 43 (1983), 278–288.
    • (1983) SIAM J. Appl. Math , vol.43 , pp. 278-288
    • Hummel, R.1
  • 14
    • 0017558676 scopus 로고
    • The Shannon sampling theorem—its various extensions and applications: A tutorial review
    • A.J. Jerri, The Shannon sampling theorem—its various extensions and applications: A tutorial review, Proc. IEEE 65 (1977), 1565–1596.
    • (1977) Proc. IEEE , vol.65 , pp. 1565-1596
    • Jerri, A.J.1
  • 15
    • 33747444473 scopus 로고
    • A generalized sampling theorem
    • H.P. Kramer, A generalized sampling theorem, J. Math. Phys. 38 (1959), 68–72.
    • (1959) J. Math. Phys , vol.38 , pp. 68-72
    • Kramer, H.P.1
  • 18
    • 0004105134 scopus 로고
    • Hermann, Paris, Editeurs des Sciences et des Arts
    • Y. Meyer, Ondelettes, Hermann, Paris, Editeurs des Sciences et des Arts, 1990.
    • (1990) Ondelettes
    • Meyer, Y.1
  • 19
    • 0025842349 scopus 로고
    • General sampling theorems for functions, in Reproducing kernel Hilbert spaces
    • M.Z. Nashed and G.G. Walter, General sampling theorems for functions, in Reproducing kernel Hilbert spaces, Math. of Control Signals Sys. 4 (1991), 373–412.
    • (1991) Math. of Control Signals Sys , vol.4 , pp. 373-412
    • Nashed, M.Z.1    Walter, G.G.2
  • 21
    • 0002308457 scopus 로고
    • Contribution to the problem of approximation of equidistant data by analytic functions
    • 112–141.
    • I.J. Schoenberg, Contribution to the problem of approximation of equidistant data by analytic functions, Quart. Appl. Math. 4 (1946), 45–99, 112–141.
    • (1946) Quart. Appl. Math , vol.4 , pp. 45-99
    • Schoenberg, I.J.1
  • 22
    • 51649174633 scopus 로고
    • Notes on spline functions III: on the convergence of the interpolating cardinal splines as their degree tends to infinity
    • I.J. Schoenberg, Notes on spline functions III: on the convergence of the interpolating cardinal splines as their degree tends to infinity, Israel J. Math. 16 (1973), 87–92.
    • (1973) Israel J. Math , vol.16 , pp. 87-92
    • Schoenberg, I.J.1
  • 23
    • 84911837213 scopus 로고
    • Communications in the presence of noise
    • C.E. Shannon, Communications in the presence of noise, Proc. IRE 37 (1949), 10–21.
    • (1949) Proc. IRE , vol.37 , pp. 10-21
    • Shannon, C.E.1
  • 24
    • 84948486004 scopus 로고
    • in Proc. International Symposium on Information Theory and its Applications, Waikiki, Hawaii
    • M. Unser, A. Aldroubi, and M. Eden, A sampling theory for polynomial splines, in Proc. International Symposium on Information Theory and its Applications, Waikiki, Hawaii (1990), 279–282.
    • (1990) A sampling theory for polynomial splines , pp. 279-282
    • Unser, M.1    Aldroubi, A.2    Eden, M.3
  • 26
    • 0000687222 scopus 로고
    • Application of reproducing kernel Hilbert Spaces-bandlimited signal models
    • K. Yao, Application of reproducing kernel Hilbert Spaces-bandlimited signal models, Information and Control 11 (1967), 429–444.
    • (1967) Information and Control , vol.11 , pp. 429-444
    • Yao, K.1
  • 27
    • 0026141901 scopus 로고
    • On Kramer’s sampling theorem associated with general Sturm-Liouville problems and Lagrange interpolation
    • A.I. Zayed, On Kramer’s sampling theorem associated with general Sturm-Liouville problems and Lagrange interpolation, SIAM J. Appl. Math. 51 (1991), 575–604.
    • (1991) SIAM J. Appl. Math , vol.51 , pp. 575-604
    • Zayed, A.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.