chapter  12
70 Pages

A Few Facts from Harmonic Analysis

The Lebesgue measure and integration have been decisive in the development of many branches of analysis and are applied there in ever greater degree. But, conversely, some of the applications have had considerable impact on the theory of integration. In this chapter, wewill consider one topic where this interdependence has been particularly fruitful: harmonic analysis (see p. 305 in Section 12.1).