• Edwin Hewitt
  • Kenneth A. Ross
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 152)


This chapter treats two topics for which no reasonable home could be found elsewhere. Section 43, dealing with maximal functions in L p (G), is of interest in its own right. Section 44, which explores pointwise summability of Fourier transforms on groups, is of interest as an extension of the classical theorem of FejÉR and Lebesgue, and is also used in an essential way in Theorem (36.18) supra.


Compact Group Maximal Function Compact Subgroup Closed Subgroup Character Group 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1970

Authors and Affiliations

  • Edwin Hewitt
    • 1
  • Kenneth A. Ross
    • 2
  1. 1.Department of Mathematic GN-50University of WashingtonSeattleUSA
  2. 2.Department of MathematicsUniversity of OregonEugeneUSA

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