Laplacians on spheres
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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.
Date issued
2018-07-30Department
Massachusetts Institute of Technology. Department of MathematicsPublisher
Springer International Publishing