Interpolation in harmonic Hilbert spaces

Franz-J. Delvos

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1997)

  • Volume: 31, Issue: 4, page 435-458
  • ISSN: 0764-583X

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Delvos, Franz-J.. "Interpolation in harmonic Hilbert spaces." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 31.4 (1997): 435-458. <http://eudml.org/doc/193844>.

@article{Delvos1997,
author = {Delvos, Franz-J.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {harmonic Hilbert space; variational approach; infinite interpolation; sinc-functions; splines},
language = {eng},
number = {4},
pages = {435-458},
publisher = {Dunod},
title = {Interpolation in harmonic Hilbert spaces},
url = {http://eudml.org/doc/193844},
volume = {31},
year = {1997},
}

TY - JOUR
AU - Delvos, Franz-J.
TI - Interpolation in harmonic Hilbert spaces
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1997
PB - Dunod
VL - 31
IS - 4
SP - 435
EP - 458
LA - eng
KW - harmonic Hilbert space; variational approach; infinite interpolation; sinc-functions; splines
UR - http://eudml.org/doc/193844
ER -

References

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  1. I. BABUSKA, 1968, Über universal optimale Quadraturformeln. Teil 1, Apl. mat, 13, 304-338, Teil 2. Apl. mat, 13, 388-404. Zbl0247.65010MR244680
  2. K. CHANDRASEKHARAN, 1989, « Classical Fourier transforms ». Springer-Verlag, Berlin. Zbl0681.42001MR978387
  3. F.-J. DELVOS, 1990, Approximation by optimal periodic interpolation, Apl. mat, 35, 451-457. Zbl0743.41005MR1089925
  4. F.-J. DELVOS, 1991, Antiperiodic interpolation on uniform meshes. In « Progress in pproximation Theory » edited by P. Nevai and A. Pinkus, Academic Press, New York, 187-199. MR1114773
  5. B. EPSTEIN, D.D. GREENSTEIN and J. MIRANKER, 1958, An extremal problem with infinitely many interpolation conditions. Annales Acad. Sc. Fennicae, Series A, I., Math., 250/10, 1-8. Zbl0080.28801MR95959
  6. H. G. GARNIR, 1965, « Fonctions de variables réelles, Tome II » Gauthier-Villars, Paris. Zbl0143.06901MR204578
  7. Y. KATZNELSON, 1976, « An introduction to harmonic analysis ». Dover, New York. Zbl0352.43001MR422992
  8. F. LOCHER, 1981, Interpolation on uniform meshes by translates of one function and related attenuation factors. Math. Computation, 37, 403-416. Zbl0517.42004MR628704
  9. F. OBERHETTLNGER, 1973, « Fourier transforms of distributions and their inverses ». Academic Press, New York. Zbl0306.65002MR352887
  10. M. PRAGER, 1979, Universally optimal approximation of functionals. Apl. mat., 24, 406-420. Zbl0449.41003MR547044
  11. I. J. SCHOENBERG, 1969, Cardinal interpolation and spline functions J. Approx Theory, 2, 167-206. Zbl0202.34803MR257616
  12. R. M. YOUNG, 1980, « An introduction to nonharmomic Fourier series » Academic Press, New York. Zbl0493.42001MR591684

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