Study Fourier Series: A Modern Introduction Volume 2 (Graduate Texts in Mathematics) (0387906517)

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R. E. Edwards "Fourier Series: A Modern Introduction Volume 2 (Graduate Texts in Mathematics)"

Volume 2 deals on the whole with the more modern aspects of Fourier

theory, and with those facets of the classical theory that fit most nat-

urally into a function-analytic garb. With their introduction to distri-

butional concepts and techniques and to interpolation theorems, respec-

tively, Chapters 12 and 13 are perhaps the most significant portions of

Volume 2. From a pedagogical viewpoint, the carefully detailed dis-

cussion of Marcinkiewicz's interpolation theorem will, it is hoped, go some

way toward making this topic more accessible to a beginner.

A major portion of Chapter 11 is devoted to the elements of Banach

algebra theory and its applications in harmonic analysis. In Chapter 16

there appears what is believed to be the first reasonably connected intro-

ductory account of multiplier problems and related matters.

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