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arXiv · 2505.11789

Spectral Asymptotics for Quantized Derivatives on Quantum Euclidean Spaces

Yongqiang Tian
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Abstract

We obtain spectral asymptotics for the quantized derivatives of elements from the first-order homogeneous Sobolev space on the quantum Euclidean space, extending an earlier result of McDonald, Sukochev and Xiong (Commun. Math. Phys. 2020). Our approach is based on a noncommutative Wiener-Ikehara Tauberian theorem and a recently developed $C^\ast$-algebraic version of pseudo-differential operator theory.

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Yongqiang Tian. 2025-05-17. Spectral Asymptotics for Quantized Derivatives on Quantum Euclidean Spaces. https://arxiv.org/abs/2505.11789

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