Über Favardklassen von Summationsprozessen mehrdimensionaler Fourierreihen

R. J. Nessel; A. Pawelke

Compositio Mathematica (1968)

  • Volume: 19, Issue: 3, page 196-212
  • ISSN: 0010-437X

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Nessel, R. J., and Pawelke, A.. "Über Favardklassen von Summationsprozessen mehrdimensionaler Fourierreihen." Compositio Mathematica 19.3 (1968): 196-212. <http://eudml.org/doc/88961>.

@article{Nessel1968,
author = {Nessel, R. J., Pawelke, A.},
journal = {Compositio Mathematica},
keywords = {approximation and series expansion},
language = {ger},
number = {3},
pages = {196-212},
publisher = {Wolters-Noordhoff Publishing},
title = {Über Favardklassen von Summationsprozessen mehrdimensionaler Fourierreihen},
url = {http://eudml.org/doc/88961},
volume = {19},
year = {1968},
}

TY - JOUR
AU - Nessel, R. J.
AU - Pawelke, A.
TI - Über Favardklassen von Summationsprozessen mehrdimensionaler Fourierreihen
JO - Compositio Mathematica
PY - 1968
PB - Wolters-Noordhoff Publishing
VL - 19
IS - 3
SP - 196
EP - 212
LA - ger
KW - approximation and series expansion
UR - http://eudml.org/doc/88961
ER -

References

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  6. Bochner, S., [6] Quasi-analytic functions, Laplace operator, positive kernels, Ann. of Math.51 (1950), 68-91. Zbl0035.33102MR32708
  7. Bochner, S., [7] Lectures on Fourier integrals. Princeton1959. Zbl0085.31802
  8. Bochner, S., [8] Harmonic analysis and the theory of probability. Los Angeles1960. Zbl0068.11702
  9. Butzer, P.L., [9] Über den Grad der Approximation des Identitätsoperators durch Halbgruppen von linearen Operatoren und Anwendungen auf die Theorie der singulären Integrale. Math. Ann.133 (1957), 410—425. Zbl0081.33403
  10. Butzer, P.L., [10] Fourier transform methods in the theory of approximation. Arch. Rat. Mech. Anal.5 (1960), 390—415. Zbl0107.32101
  11. Butzer, P.L., [11] Integral transform methods in the theory of approximation. In: On Approximation theory (Proceedings of the Conference held in the Math. Research Institute at Oberwolfach, 1963). ISNM, vol. 5, Basel (1964), 12-23. Zbl0171.30502MR180795
  12. Butzer, P.L. und Görlich, E., [12] Saturationsklassen und asymptotische Eigenschaften trigonometrischer singulärer Integrale. Arbeitsgemeinschaft für Forschung des Landes NRW, Bd. 33 (Festschrift zur Gedächtnisfeier für Karl Weierstraß, 1815-1965), Westdt. Verlag, Köln1966, 339-392. Zbl0166.07102MR196368
  13. Butzer, P.L. and Nessel, R.J., [13] Favard classes for n-dimensional singular integrals. Bull. Amer. Math. Soc.72 (1966), 493-498. Zbl0143.28603MR192249
  14. Butzer, P.L. and Nessel, R.J., [14] Contributions to the theory of saturation for singular integrals in several variables. I. Nederl. Akad. Wetensch. Proc. Ser.A. 69and Indag. Math.28 (1966), 515-531. Zbl0176.34502MR204942
  15. Butzer, P.L. and Sunouchi, G., [15] Approximation theorems for the solution of Fourier's problem and Dirichlet's problem. Math. Ann.155 (1964), 316-330. Zbl0178.12603MR199615
  16. Favard, J., [16] Sur l'approximation des fonctions d'une variable réelle. Colloque d'Anal. Harmon. Publ. C.N.R.S. Paris15 (1949), 97-110. Zbl0040.02803MR32839
  17. Nessel, R.J., [17] Contributions to the theory of saturation for singular integrals in several variables, II, III. Nederl. Akad. Wetensch. Proc. Ser.A70and Indag Math.29 (1967), 52-73. Zbl0176.34601MR209744
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  20. Taibleson, M.H., [20] On the theory of Lipschitz spaces of distributions on Euclidean n-space. J. Math. Mech.13 (1964), 407—479. Zbl0132.09402

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