This concrete approach to harmonic analysis begins with the circle group T and deals with classical Fourier series in the first five chapters, turning to the real line in chapter six, locally compact abelian groups in chapter seven, and commutative Banach algebras in final chapter.

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First published in 1968, this Introduction has firmly established itself as a classic text and a favorite for students and experts alike. Yitzhak Katznelson begins with an exposition of classical Fourier series. His aim is to demonstrate the central ideas of harmonic analysis and provide a stock of examples to foster a clear understanding of the theory. This new edition has been revised to include several new sections and a new appendix.

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