Bounds for Truncation Error of the Sampling Expansion
David L. Jagerman · SIAM Journal on Applied Mathematics · 1966
Previous article Next article Bounds for Truncation Error of the Sampling ExpansionD. JagermanD. Jagermanhttps://doi.org/10.1137/0114060PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] E. T. Whittaker, On the functions which are represented by the expansions of the interpolation theory, Proc. Roy. Soc. Edinburgh, 35 ((1914–1915)), 181–194 CrossrefGoogle Scholar[2] J. M. Whittaker, Interpolatory Function Theory, Cambridge Tracts in Mathematics and Mathematical Physics No. 33, 1935, 65–71 0012.15503 Google Scholar[3] Claude E. Shannon, Communication in the presence of noise, Proc. I.R.E., 37 (1949), 10–21 MR0028549 (10,464e) CrossrefISIGoogle Scholar[4] D. L. Jagerman, The discriminant of Hill's equation, Res. Report, BR-39, Institute of Mathematics and Science, Division of EM Research, New York University, 1962 Google Scholar[5] H. D. Helms and , J. B. Thomas, Truncation error of sampling-theorem expansions, Proc. IRE, 50 (1962), 179–184 MR0148199 (26:5707) CrossrefISIGoogle Scholar[6] S. Bochner and , K. Chandrasekharan, Fourier Transforms, Annals of Mathematics Studies, no. 19, Princeton University Press, Princeton, N. J., 1949ix+219 MR0031582 (11,173d) 0065.34101 Google Scholar[7] Ralph Philip Boas, Jr., Entire functions, Academic Press Inc., New York, 1954, 180–181 MR0068627 (16,914f) 0058.30201 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Regularized Sampling Reconstruction of Signals in the Linear Canonical Transform DomainSignal Processing, Vol. 49 | 1 Apr 2022 Cross Ref Sampling formulas for 2D quaternionic signals associated with various quaternion Fourier and linear canonical transformsFrontiers of Information Technology & Electronic Engineering, Vol. 23, No. 3 | 26 March 2022 Cross Ref Exponential approximation of multivariate bandlimited functions from average oversamplingApplicable Analysis, Vol. 101, No. 1 | 16 February 2020 Cross Ref An Overview of the Computation of the Eigenvalues Using Sinc-MethodsNew Sinc Methods of Numerical Analysis | 7 August 2020 Cross Ref Sampling eigenvalues by Hermite revisitedInternational Journal of Computer 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