Laplacians on spheres
Author(s)Schlichtkrull, Henrik; Trapa, Peter E; Vogan, David A
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Abstract Spheres can be written as homogeneous spaces G / H for compact Lie groups in a small number of ways. In each case, the decomposition of $$L^2(G/H)$$ L 2 ( G / H ) into irreducible representations of G contains interesting information. We recall these decompositions, and see what they can reveal about the analogous problem for noncompact real forms of G and H.
Springer International Publishing