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Applicable Analysis
An International Journal
Volume 49, 1993 - Issue 1-2
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The sampling series as a limiting case of lagrange interpolation

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Pages 49-60 | Received 15 Sep 1991, Published online: 02 May 2007

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Andriy Ya. Olenko & Tibor K. Pogány. (2011) Universal truncation error upper bounds in irregular sampling restoration† . Applicable Analysis 90:3-4, pages 595-608.
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Tibor K. Pogány. (2022) On multivariable Plancherel–Pólya inequality and truncation error upper bounds in irregular sampling. Sampling Theory, Signal Processing, and Data Analysis 21:1.
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Tai-Ming Chang, Chia-Bin Hsieh & Pao-Chi Chang. (2014) An enhanced direct chord transformation for music retrieval in the AAC transform domain with window switching. Multimedia Tools and Applications 74:18, pages 7921-7942.
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J.R. Higgins. (2003) Historical origins of Interpolation and Sampling, up to 1841. Sampling Theory in Signal and Image Processing 2:2, pages 117-128.
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E. Meijering. (2002) A chronology of interpolation: from ancient astronomy to modern signal and image processing. Proceedings of the IEEE 90:3, pages 319-342.
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A. I. Zayed & P. L. Butzer. 2001. Nonuniform Sampling. Nonuniform Sampling 123 168 .
P. L. Butzer, G. Schmeisser & R. L. Stens. 2001. Nonuniform Sampling. Nonuniform Sampling 17 121 .
Paul L. Butzer, J. R. Higgins & R. L. Stens. 2000. Development of Mathematics, 1950–2000. Development of Mathematics, 1950–2000 193 234 .
M. Genuit & G. Schöttler. (1995) A problem of L. L. Campbell on the equivalence of the Kramer and Shannon sampling theorems. Computers & Mathematics with Applications 30:3-6, pages 433-443.
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G. Hinsen. (1992) Explicit irregular sampling formulas. Journal of Computational and Applied Mathematics 40:2, pages 177-198.
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P. L. Butzer & R. L. Stens. (1992) Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview. SIAM Review 34:1, pages 40-53.
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