This chapter treats two topics for which no reasonable home could be found elsewhere. Section 43, dealing with maximal functions in Lp (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.
KeywordsConvolution Topo Dial
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- Lebesgue, Henri;  Leçons sur les séries trigonométriques. Collection de Monographies sur la théorie des fonctions. Paris; Gauthier-Villars 1906.Google Scholar
- Saks, Stanislaw, and Antoni Zygmund;  Analytic functions, English edition. Monografie Matematyczne, Tom Xxviii. Warszawa.Wroclaw; 1952.Google Scholar