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Intro to Non-Commutative Harmonic Analysis, Part III

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Tom McNamara, SLU

What
  • Analysis Seminar
When Tue, Oct 24, 2006
from 02:10 PM to 03:00 PM
Where RH 316
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Abstract: We will continue with our examination SO(3) acting on the two-sphere. The spherical harmonics will be shown to decompose the function space L^2(S^2). Particular attention will be given to the role played by the fact that S^2 is compact. From there we move on to a non- compact, non-abelian Lie group G, investigating the action of this group on a normal subgroup N. We will look for a relationship between L^2(N) and L^2(G), drawing parallels to the compact case.

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