Laplacians on spheres

2018/03/03 by Schlichtkrull, Henrik, Trapa, Peter, Vogan,, David A. · 1 citation
#22E45 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1803.01267

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 L²(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.

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• The Geodesic Restriction Problem for Arithmetic Spherical Harmonics

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