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.
KeywordsCompact Group Maximal Function Compact Subgroup Closed Subgroup Character Group
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