On the Fourier transform for a symmetric group homogeneous space
Abstract
Description
By using properties of the Young orthogonal representation, this paper derives a simple form for the Fourier transform of permutations acting on the homogeneous space of $n$-dimensional vectors, and shows that the transform requires $2n-2$ multiplications and the same number of additions.
Fixed title, found some errors in the math of the previous version (not serious)
Fixed title, found some errors in the math of the previous version (not serious)