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arXiv · 2604.20998

Strong factorization theorem for smooth vectors of exponential solvable Lie group representations

Santiago Chaves·Andreas Debrouwere·Alberto Hernández Alvarado·Jasson Vindas·Rafael Zamora
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Abstract

We establish new strong factorization properties for the smooth vectors of representations of exponential solvable Lie groups on Fréchet spaces. In particular, our results improve upon the Dixmier-Malliavin factorization theorem for simply connected nilpotent Lie groups.

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Santiago Chaves, Andreas Debrouwere, Alberto Hernández Alvarado, Jasson Vindas, Rafael Zamora. 2026-04-22. Strong factorization theorem for smooth vectors of exponential solvable Lie group representations. https://arxiv.org/abs/2604.20998

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