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math.OA2026
Nonclassical Weyl laws and Connes' Integration for weak Lorentz ideals, II
Raphael Ponge, Yongqiang Tian
This is the second in a series of papers on Connes' integration in weak Lorentz ideals. Building on the Dixmier trace theory, Birman--Solomyak perturbation theory, and strong measu…
math.OA2026
Nonclassical Weyl laws and Connes' Integration for weak Lorentz ideals, I
Raphael Ponge, Yongqiang Tian
Motivated by nonclassical Weyl laws arising in various contexts (including Connes' approach to the Riemann Hypothesis), we develop a systematic theory of Dixmier traces and Connes'…