Literaturverzeichnis
N. J. Fine, On the Walsh functions,Trans. Amer. Math. Soc.,65 (1949), 372–414.
J. Gosselin, Almost ewerywhere convergence of Vilenkin-Fourier series,Trans. Amer. Math. Soc.,185 (1973), 345–370.
L. Hörmander, Estimates for translation invariant operators inL p spaces,Acta. Math.,104 (1960), 93–100.
F. Schipp, Bemerkung zur Divergenz der Walsh-Fourierreihen,Ann. Univ. Sci. Budapest, Sectio Math.,11 (1968), 52–58.
F. Schipp, On almost everywhere convergence of expansions with respect to certain product systems,Analysis Math. (to appear).
F. Schipp, OnL p-norm convergence of series with respect to product systems,Analysis Math. (to appear).
P. Simon, Verallgemeinernte Walsh-Fourierreihen I,Annales Univ. Sci. Budapest. Sectio Math.,16 (1973), 103–113.
N. Ja. Vilenkin, On a class of complete orthonormal systems,Izv. Akad. Nauk. SSSR Ser. Mat.,11 (1947), 363–400; English transl.,Amer. Math. Soc. Transl.,(2) 28 (1963), 1–35.
C. Watari, Mean convergence of Walsh-Fourier series,Tôhoku Math. J.,16 (1964), 183–188.
C. Watari, On generalized Walsh-Fourier series,Tôhoku Math. J., (2)10 (1958), 211–241.
A. Zygmund,Trigonometrical series. Vols. I, II, 2nd ed. Cambridge Univ. Press., New York.
Author information
Authors and Affiliations
Additional information
Herrn Prof. K. Tandori zum 50. Geburtstag gewidmet
Rights and permissions
About this article
Cite this article
Simon, P. Verallgemeinerte Walsh—Fourierreihen. II. Acta Mathematica Academiae Scientiarum Hungaricae 27, 329–341 (1976). https://doi.org/10.1007/BF01902112
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01902112