This book is aimed at advanced undergraduates and it is intended as a primer in Harmonic Analysis. It is written without too much technical overload, opting to base the subject on the Riemann integral rather than the more demanding Lebesgue integral. This book has 3 goals. The first is to introduce the reader to Fourier analysis. The second is to explain how the Fourier series and the Fourier Transform are both special cases of a more general theory arising in the context of locally compact abelian groups. The third aim is to introduce the reader to the techniques used in Harmonic Analysis of noncommutative groups.
Rezensionen / Stimmen
From the reviews of the first edition:
A. Deitmar
A First Course in Harmonic Analysis
"An excellent introduction to the basic concepts of this beautiful theory, without too much technical overload . . . In this well-written textbook the central concepts of Harmonic Analysis are explained in an enjoyable way, while using very little technical background. Quite surprisingly this approach works. It is not an exaggeration that each undergraduate student interested in and each professor teaching Harmonic Analysis will benefits from the streamlined and direct approach of this book."-ACTA SCIENTIARUM MATHEMATICARUM
"This is a well thought thorough introduction to harmonic analysis . efficient, swift, elegant and concentrated. . It makes for an excellent text book, an instructor's delight and a pleasure for students because of the precise formulation and the concise proofs in a little over one hundred pages. . A gem of a first course in harmonic analysis, heartily recommended." (A. Dijksma, Nieuw Archief voor Wiskunde, Vol. 7 (3), 2006)
