Neutral-Spine 发表于 2025-3-23 10:04:44

Analytic Properties of Spectral Functions, the asymptotic expansion of the corresponding heat trace. We utilise the latter to establish the sought asymptotic expansion of the spectral action at large energies. Finally, we ponder the possibility of obtaining convergent, rather than only asymptotic, formulae for this action.

Intractable 发表于 2025-3-23 17:07:38

Open Problems,ution to each of these stumbling blocks would advance our understanding of the foundations and implications of the Spectral Action Principle. We therefore cordially invite the Reader to contemplate the list below, both from mathematical and physical perspectives.

流逝 发表于 2025-3-23 18:24:10

Fluctuations of the Spectral Action,the meromorphic structure of the fluctuated zeta function and, for regular spectral triples with simple dimension spectra, we provide a few formulae for the noncommutative integrals. Finally, we sketch the method of operator perturbations.

anachronistic 发表于 2025-3-23 23:59:20

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出汗 发表于 2025-3-24 04:42:14

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抛射物 发表于 2025-3-24 09:16:35

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Detonate 发表于 2025-3-24 14:07:23

Book 2018ld is spelled out in the fifth Chapter. The book concludes with an appendix including some auxiliary tools from geometry and analysis, along with examples of spectral geometries..The book servesboth as a compendium for researchers in the domain of noncommutative geometry and an invitation to mathematical physicists looking for new concepts..

decode 发表于 2025-3-24 18:02:39

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突变 发表于 2025-3-24 20:22:16

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sclera 发表于 2025-3-25 01:10:40

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查看完整版本: Titlebook: Spectral Action in Noncommutative Geometry; Michał Eckstein,Bruno Iochum Book 2018 The Author(s) 2018 Spectral triples.Mellin transforms.a