Free Access
Volume 36, Number 2, March/April 2002
Page(s) 155 - 175
Published online 15 May 2002
  1. N.S. Banerjee and J. Geer, Exponential approximations using Fourier series partial sums, ICASE Report No. 97-56, NASA Langley Research Center (1997).
  2. N. Bary, Treatise of Trigonometric Series. The Macmillan Company, New York (1964).
  3. H.S. Carslaw, Introduction to the Theory of Fourier's Series and Integrals. Dover (1950).
  4. K.S. Eckhoff, Accurate reconstructions of functions of finite regularity from truncated series expansions. Math. Comp. 64 (1995) 671-690. [CrossRef] [MathSciNet]
  5. K.S. Eckhoff, On a high order numerical method for functions with singularities. Math. Comp. 67 (1998) 1063-1087. [CrossRef] [MathSciNet]
  6. A. Gelb and E. Tadmor, Detection of edges in spectral data. Appl. Comput. Harmon. Anal. 7 (1999) 101-135. [CrossRef] [MathSciNet]
  7. A. Gelb and E. Tadmor, Detection of edges in spectral data. II. Nonlinear Enhancement. SIAM J. Numer. Anal. 38 (2001) 1389-1408. [CrossRef]
  8. B.I. Golubov, Determination of the jump of a function of bounded p-variation by its Fourier series. Math. Notes 12 (1972) 444-449.
  9. D. Gottlieb and C.-W. Shu, On the Gibbs phenomenon and its resolution. SIAM Rev. (1997).
  10. D. Gottlieb and E. Tadmor, Recovering pointwise values of discontinuous data within spectral accuracy, in Progress and Supercomputing in Computational Fluid Dynamics, Proceedings of a 1984 U.S.-Israel Workshop, Progress in Scientific Computing, Vol. 6, E.M. Murman and S.S. Abarbanel Eds., Birkhauser, Boston (1985) 357-375.
  11. G. Kvernadze, Determination of the jump of a bounded function by its Fourier series. J. Approx. Theory 92 (1998) 167-190. [CrossRef] [MathSciNet]
  12. E. Tadmor and J. Tanner, Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information, Foundations of Comput. Math. Online publication DOI: 10.1007/s002080010019 (2001), in press.
  13. A. Zygmund, Trigonometric Series. Cambridge University Press (1959).

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