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Paley sets and term by term dyadic differentiation of Walsh series

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References

  1. P. L. Butzer and H. J. Wagner, Walsh series and the concept of a derivative,Applic. Anal.,3 (1973), 29–46.

    Google Scholar 

  2. P. L. Butzer and H. J. Wagner, On dyadic analysis based on the pointwise dyadic derivative,Analysis Math.,1 (1975), 171–196.

    Google Scholar 

  3. N. J. Fine, On the Walsh functions,Trans. Amer. Math. Soc.,65 (1949), 372–414.

    Google Scholar 

  4. C. W. Onneweer, Differentiability for Rademacher series on groups,Acta Sci. Math. (Szeged),39 (1977), 121–128.

    Google Scholar 

  5. C. H. Powell and W. R. Wade, Term by term differentiation,Canad. J. Math.,33 (1981), 247–256.

    Google Scholar 

  6. W. Rudin,Fourier Analysis on Groups, Interscience Publ., Wiley and Sons (New York, N. Y., 1967).

    Google Scholar 

  7. V. A. Skvorcov and W. R. Wade, Generalizations of some results concerning Walsh series and the dyadic derivative,Analysis Math.,5 (1979), 249–255.

    Google Scholar 

  8. W. R. Wade, Recent developments in the theory of Walsh series,Internat. J. Math. Math. Sci.,5 (1982), 625–673.

    Google Scholar 

  9. A. Zygmund,Trigonometric Series, Cambridge Univ. Press (New York, N. Y., 1959).

    Google Scholar 

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Authors and Affiliations

  1. Mathematics Department, University of Tennessee, 37996-1300, Knoxville, Tennessee, USA

    C. H. Powell & W. R. Wade

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  1. C. H. Powell
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  2. W. R. Wade
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This research was supported in part by a National Science Foundation grant INT-8620153.

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Powell, C.H., Wade, W.R. Paley sets and term by term dyadic differentiation of Walsh series. Acta Math Hung 62, 89–96 (1993). https://doi.org/10.1007/BF01874220

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