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arXiv · 2305.01456

Semiclassical Moser-Trudinger inequalities

Rakesh Arora·Phan Thành Nam·Phuoc-Tai Nguyen
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Abstract

We extend the Moser-Trudinger inequality of one function to systems of orthogonal functions. Our results are asymptotically sharp when applied to the collective behavior of eigenfunctions of Schr\"odinger operators on bounded domains.

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Rakesh Arora, Phan Thành Nam, Phuoc-Tai Nguyen. 2023-05-02. Semiclassical Moser-Trudinger inequalities. https://arxiv.org/abs/2305.01456

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