This primer in harmonic analysis begins with an introduction to Fourier analysis, leading up to the Poisson Summation Formula. Next, it shows that both the Fourier series and the Fourier transform are special cases of a more general theory arising in the context of locally compact abelian groups. Finally, it introduces techniques used in harmonic analysis of noncommutative groups. Included are new chapters on distributions and on the Heisenberg Group.Quite surprisingly this approach works. It is not an exaggeration that each undergraduate student interested in and each professor teaching Harmonic Analysis will benefit from the streamlined and direct approach of this book.
|Title||:||A First Course in Harmonic Analysis|
|Publisher||:||Springer Science & Business Media - 2005-03-09|