Über Favardklassen von Summationsprozessen mehrdimensionaler Fourierreihen

R. J. Nessel; A. Pawelke

Compositio Mathematica (1968)

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

How to cite

top

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

top
  1. Aronszajn, N. and Smith, K.T., [1] Theory of Bessel potentials. I. Ann. Inst. Fourier11, (1961), 385—475. Zbl0102.32401
  2. Berens, H., [2] Approximationssätze für Halbgruppenoperatoren in intermediären Räumen. Schriftenreihe Math. Inst. Univ. Münster, H. 32 (1964), 1-59. Zbl0124.06604MR172125
  3. Berens, H., [3] Equivalent representations for the infinitesimal generator of higher orders in semi-group theory. Nederl. Akad. Wetensch. Proc. Ser.A68and Indag. Math.27 (1965), 497—512. Zbl0135.36701
  4. Berens, H. und Görlich, E., [4] Über einen Darstellungssatz für Funktionen als Fourierintegrale und Anwendungen in der Fourieranalysis. Töhoku Math. Journ.18 (1966), 429—453. Zbl0163.35503
  5. Bochner, S., [5] Summation of multiple Fourier series by spherical means, Trans. Amer. Math. Soc.40 (1936), 175—207. Zbl0015.15702JFM62.0293.03
  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
  18. Shapiro, V.L., [18] Fourier series in several variables. Bull. Amer. Math. Soc.70 (1964), 48-93. Zbl0267.42011MR158222
  19. Sunouchi, G. and Watari, C., [19] On determination of the class of saturation in the theory of approximation, I. Proc. Japan. Acad.34 (1958), 477—481;II, Töhoku Math. Journ.11 (1959), 480—488. Zbl0128.29103
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.