Analytic Dirac approximation for real linear algebraic groups

Christoph Lienau

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arXiv · 1002.4462

Analytic Dirac approximation for real linear algebraic groups

Christoph Lienau

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Abstract

For a real linear algebraic group G let A(G) be the algebra of analytic vectors for the left regular representation of G on the space of superexponentially decreasing functions. We present an explicit Dirac sequence in A(G). Since A(G) acts on E for every Frechet-representation (π,E) of moderate growth, this yields an elementary proof of a result of Nelson that the space of analytic vectors is dense in E.

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Christoph Lienau. 2010-02-24. Analytic Dirac approximation for real linear algebraic groups. https://arxiv.org/abs/1002.4462

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