Open Access Senior Thesis
Bachelor of Science
Shahriar Shahriari (Pomona)
The classical Fourier transform is, in essence, a way to take data and extract components (in the form of complex exponentials) which are invariant under cyclic shifts. We consider a case in which the components must instead be invariant under automorphisms of a binary tree. We present a technique by which a slightly relaxed form of the generalized Fourier transform in this case can eventually be computed using only simple tools from linear algebra, which has possible advantages in computational efficiency.
Eldredge, Nate, "An Eigenspace Approach to Isotropic Projections for Data on Binary Trees" (2003). HMC Senior Theses. 146.