The Explicit Fourier Decomposition of L<sup>2</sup>SO(n)/SO(n - m))
The Explicit Fourier Decomposition of L<sup>2</sup>SO(n)/SO(n - m))
The decomposition of L 2 SO(n)/SO(n - m)) into a direct sum of irreducible representations of SO(n) is given abstractly by the branching theorem and the Frobenius reciprocity theorem [ 1 ]. The goal of this paper is to obtain this decomposition explicitly, generalizing the theory of spherical harmonics (m …