Publication Cover
Applicable Analysis
An International Journal
Volume 9, 1979 - Issue 4
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Original Articles

On the definition of dyadic differentiation

Pages 267-278 | Received 25 Apr 1978, Published online: 10 May 2007

References

  • Butzer , P. L. and Wagner , H. J. 1973 . Walsh-Fourier series and the concept of a derivative . Applicable Anal. , 3 : 29 – 46 .
  • Butzer , P. L. and Wagner , H. J. 1972 . On a Gibbs-type derivative in Walsh-Fourier Analysis with applications, Proc. . National Electronics Conference , 27 : 393 – 398 . Chicago
  • Edwards , R. E. and Gaudry , G. I. 1977 . Littlewood-Paley and Multiplier Theory , Berlin : Springer Verlag .
  • Gibbs , J. E. and Ireland , B. 1974 . “ Walsh functions and differentiation, Applications of Walsh functions ” . In Proc. Sympos , 147 – 176 . Washington, D.C. : Naval Research Lab .
  • Harmuth , H. F. 1969 . Transmission of Information by Orthogonal Functions , New York : Springer Verlag .
  • Onneweer , C. W. 1977 . Fractional differentiation on the group of integers of a p-adic or . Anal. Math. , 3 : 119 – 130 .
  • Onneweer , C. W. and Pál , J. 1977 . On the concept of a derivative among functions defined on the dyadic field . SI AM J. Math. Anal. , 8 : 375 – 391 .
  • Spector , R. 1978 . “ Sur la structure locale des groupes abeliens localement compacts ” . In Bull. Soc. Math. France , Vol. 24 , Basel : ISNM 40, Birkhäauser Verlag . Memoire 1970
  • Splettstosser , W. and Wagner , H. J. 1977 . Eine dyadische Infinitesimalrechnung für Haar-Funktionen . Z. Angew. Math. Mech. , 57 : 527 – 544 .
  • Taibleson , M. H. 1975 . Fourier Analysis on Local Fields, Mathematical Notes , Princeton : Princeton University Press .

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