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Applicable Analysis
An International Journal
Volume 34, 1989 - Issue 3-4
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Original Articles

A fundamental theorem of dyadic calculus for the unit square

Ferenc Schipp Department of Mathematics, University of Tennessee, Knoxville, TN, 37996-1300, USA
&
William R. Wade Department of Mathematics, University of Tennessee, Knoxville, TN, 37996-1300, USA
Pages 203-218 | Received 04 Jul 1989, Published online: 02 May 2007

References

  • Butzer , P.L. and Wagner , H.J. 1973 . Walsh Series and the concept of a derivative . Applic. Anal , 3 : 29 – 46 .
  • Butzer , P.L. and Wagner , H.J. 1975 . On dyadic analysis based on the pointwise dyadic derivative . Analysis Math , 1 : 171 – 196 .
  • Butzer , P.L. and Engels , W. 1982 . Dyadic Calculus and sampling theorems for functions with multidimensional domain . Information and Control , 52 : 33 – 351 .
  • Coifman , R.R. and Weiss , G. 1977 . Extensions of Hardy Spaces and their use in Analysis . Bull. Amer. Math. Soc , 83 : 569 – 645 .
  • Fine , N.J. 1949 . On the Walsh functions . Trans. Amer. Math. Soc , 65 : 372 – 414 .
  • Moritz , F.F. , Schipp , W.R. and Wade . “ Cesaro Summability of double Walsh-Fourier Series ” .
  • Schipp , F. , Butzer and Wagner . 1974 . Uber einen Ableitungsbegriff von . Mat. Balkanica , 4 : 541 – 546 .
  • Schipp , F. 1975 . Uber gewissen Maximaloperatoren . Annales Univ. Sci. Budapest. Sect. Math , 18 : 189 – 195 .
  • Stein , E. M. 1970 . Singular Integrals and Differentiability Properties of Functions , Princeton, N.J : Princeton Univ. Press .

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