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arXiv · 2509.14676

Spectral Barron spaces arising from quantum harmonic analysis

Yaogan Mensah
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Abstract

In this paper, spectral Barron spaces are defined in the framework of quantum harmonic analysis. Their fundamental properties are studied. These include, among others, their completeness structure and some continuous embedding results. As an application, the existence and the uniqueness of the solution of a Schr\"odinger-type equation is proved.

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Yaogan Mensah. 2025-09-18. Spectral Barron spaces arising from quantum harmonic analysis. https://arxiv.org/abs/2509.14676

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