A First Course in Harmonic Analysis (eBook, PDF)
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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 ...
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.
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