By Bao Luong (auth.)
Fourier research has been the muse for a technological wave of advances in fields equivalent to imaging processing, monetary modeling, cryptography, algorithms, and series layout. This self-contained booklet offers an intensive examine the Fourier remodel, some of the most priceless instruments in utilized mathematics.
With numerous examples and distinct workout units on the finish of such a lot sections, Fourier research on Finite Abelian Groups is an ideal significant other for a primary path in Fourier research. the 1st chapters supply primary fabric for a powerful origin to accommodate next chapters.
Special issues coated include:
* Computing eigenvalues of the Fourier transform
* purposes to Banach algebras
* Tensor decompositions of the Fourier transform
* Quadratic Gaussian sums
This ebook offers an invaluable creation for well-prepared undergraduate and graduate scholars and robust purposes which could entice researchers and mathematicians. the one must haves are classes in crew concept and linear algebra.