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math.FA2025
Spectral Asymptotics for Quantized Derivatives on Quantum Euclidean Spaces
Yongqiang Tian
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…
math.FA2024
Extended zeta-function residues on principal ideals
Yongqiang Tian, Alexandr Usachev
We study extended zeta-function residues on principal ideals of compact operators and their connections with Dixmier traces. We establish a Lidskii-type formula for continuous sing…