Yitzhak Katznelson, "An Introduction to Harmonic Analysis, 2nd edition"
English | 1976 | ISBN: 0486633314 | 264 pages | PDF | 12 MB
English | 1976 | ISBN: 0486633314 | 264 pages | PDF | 12 MB
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.
Review
"Katznelson's An Introduction to Harmonic Analysis is, of course, a classic…So the first thing to say is 'thank you,' to Cambridge for doing this new edition, and to Prof. Katznelson for undertaking the task of updating his book…It is an ambitious book, moving all the way from Fourier series to Banach algebras and analysis on locally compact abelian groups. It is densely but clearly written, with the occasional flash of wit."
MAA Reviews, Fernando Q. Gouvea