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arxiv: 0711.1087 · v1 · pith:SNQKWHIVnew · submitted 2007-11-07 · 🧮 math.RT

On function spaces on symmetric spaces

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keywords spacessymmetricfunctioninfinityregularrepresentationsemisimplesmooth
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Let Y=G/H be a semisimple symmetric space. It is shown that the smooth vectors for the regular representation of G on L^p(Y) vanish at infinity.

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