当前位置: X-MOL 学术Commun. Math. Phys. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Global Trace Formula for Ultra-Differentiable Anosov Flows
Communications in Mathematical Physics ( IF 2.2 ) Pub Date : 2021-01-07 , DOI: 10.1007/s00220-020-03930-x
Malo Jézéquel

Adapting tools that we introduced in Jézéquel (J Spectr Theory 10(1):185–249, 2020) to study Anosov flows, we prove that the trace formula conjectured by Dyatlov and Zworski in (Ann. Sci. Éc. Norm. Supér. (4) 49(3):543–577, 2016) holds for Anosov flows in a certain class of regularity (smaller than $${\mathcal {C}}^\infty $$ C ∞ but larger than the class of Gevrey functions). The main ingredient of the proof is the construction of a family of anisotropic Hilbert spaces of generalized distributions on which the generator of the flow has discrete spectrum.

中文翻译:

超微分 Anosov 流的全局迹公式

使用我们在 Jézéquel (J Spectr Theory 10(1):185–249, 2020) 中介绍的工具来研究 Anosov 流,我们证明了 Dyatlov 和 Zworski 在 (Ann. Sci. Éc. Norm. Supér. (4) 49(3):543–577, 2016) 对 Anosov 流在某一类规律性(小于 $${\mathcal {C}}^\infty $$ C ∞ 但大于 Gevrey 的类)成立职能)。证明的主要成分是构造一个广义分布的各向异性希尔伯特空间族,在这些空间上流的生成器具有离散谱。
更新日期:2021-01-07
down
wechat
bug