[1]
|
A. Gelb and E. Tadmor, “Detection of Edges in Spectral Data,” Applied and Computational Harmonic Analysis, Vol. 7, No. 1, 1999, pp. 101-135. http://dx.doi.org/10.1006/acha.1999.0262
|
[2]
|
A. Gelb and E. Tadmor, “Detection of Edges in Spectral Data II. Nonlinear Enhancemen,” SIAM Journal on Numerical Analysis, Vol. 38, No. 4, 2000, pp. 1389-1408. http://dx.doi.org/10.1137/S0036142999359153
|
[3]
|
A. Gelb and E. Tadmor, “Spectral Reconstruction of Piecewise Smooth Functions from Their Discrete Data,” ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 38, No. 2, 2002, pp. 155-175.
|
[4]
|
E. Tadmor, “Filters, mollifiers and the computation of the Gibbs phenomenon,” Acta Numerica, Vol. 16, 2005, pp. 305-378. http://dx.doi.org/10.1017/S0962492906320016
|
[5]
|
L. Fejér, “über die Bestimmung des Sprunges einer Funktion aus ihrer Fourierreihe,” Journal für die reine und angewandte Mathematik, Vol. 142, 1913, pp. 165188.
|
[6]
|
L. Fejér, “über Konjugierte Trigonometrische Reihen,” Journal für die reine und angewandte Mathematik, Vol. 144, 1914, pp. 48-56.
|
[7]
|
F. Lukács, “über die Bestimmung des Sprunges einer Funktion aus ihrer Fourierreihe,” Journal für die reine und angewandte Mathematik, Vol. 150, 1920, pp. 107112.
|
[8]
|
A. Zygmund, “Trigonometric Series,” 2nd Edition, Cambridge University Press, 1959.
|
[9]
|
F. Móricz, “Extension of a Theorem of Ferenc Lukács from Single to Double Conjugate Series,” Journal of Mathematical Analysis and Applications, Vol. 259, 2001, pp. 582-595. http://dx.doi.org/10.1006/jmaa.2001.7432
|
[10]
|
M. Wirz, “Ein Spektrale-Differenzen-Verfahren mit modaler Filterung und zweidimensionaler Kantendetektierung mithilfe konjugierter Fourierreihen,” Dissertation, Cuvillier and TU Braunschweig, 2012.
|
[11]
|
H. S. Carslaw, “An Introduction to the Theory of Fourier’s Series and Integrals,” Dover Publications, New York, 1950.
|
[12]
|
L. V. Zhizhiashvili, “Trigonometric Fourier Series and Their Conjugates,” Kluwer Academic Publishers, New York, 1996.
|
[13]
|
F. Móricz, “Approximation by Rectangular Partial Sums of Double Conjugate Fourier Series,” Journal of Approximation Theory, Vol. 103, 2000, pp. 130-150. http://dx.doi.org/10.1006/jath.1999.3422
|
[14]
|
L. Zhizhiashvili and K. Sokol-Sokolowski, “On Trigonometric Series Conjugate to Fourier Series of Two Variables,” Fundamenta Mathematicae, Vol. 34, 1947, pp. 166-182.
|
[15]
|
V. L. Shapiro, “Fourier Series in Several Variables,” Bulletin of the AMS, Vol. 70, No. 1, 1964, pp. 48-93. http://dx.doi.org/10.1090/S0002-9904-1964-11026-0
|
[16]
|
J. M. Ash and L. Gluck, “Convergence and Divergence of Series Conjugate to a Convergent Multiple Fourier Series,” Trans-AMS, Vol. 207, 1975, pp. 127-142.
|
[17]
|
á. Jenei, “Pointwise Convergence of Fourier and Conjugate Series of Periodic Functions in Two Variables,” Ph.D. Thesis, University of Szeged, Bolyai Institute, 2009.
|