References
P. L. Butzer —H. J. Wagner, Walsh — Fourier series and the concept of a derivative,Applicable Anal.,3 (1973), 29–46.
J. E. Gibbs, Some generalizations of the logical derivative,NPL, DES Rept.,8 (1971).
C. W. Onneweer, Differentiability for Rademacher series on groups,Acta Sci. Math. Szeged (to appear).
F. Schipp, Über einen Ableitungsbegriff von P. L. Butzer und H. J. Wagner,Matematica Balkanica,4 (1974), 541–546.
P. Simon, Verallgemeinernten Walsh—Fourierreihen. II,Acta Math. Acad. Sci. Hungar. 27 (1976), 329–341.
N. J. Vilenkin, On a class of complete orthonormal systems,Izv. Akad. Nauk SSSR, Ser. Math.,11 (1947), 363–400.
H. J. Wagner, Ein Differential-und Integralkalkül in der Walsh-Fourier-Analysis mit Anwendungen (Forschungber. des Landes Nordhein-Westfalen Nr 2334), Westdeutscher Verlag (Köln-Opladen, 1973), 71 pp.
A. Zygmund,Trigonometric series (Cambridge, 1959).
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Pál, J., Simon, P. On a generalization of the concept of derivative. Acta Mathematica Academiae Scientiarum Hungaricae 29, 155–164 (1977). https://doi.org/10.1007/BF01896477
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DOI: https://doi.org/10.1007/BF01896477