Employee 发表于 2025-3-26 23:56:28
http://reply.papertrans.cn/67/6671/667022/667022_31.pngCapitulate 发表于 2025-3-27 04:49:18
Pseudo-Differential Operatorshttp://image.papertrans.cn/n/image/667022.jpg背信 发表于 2025-3-27 05:19:15
http://reply.papertrans.cn/67/6671/667022/667022_33.pngdefile 发表于 2025-3-27 13:09:23
http://reply.papertrans.cn/67/6671/667022/667022_34.png贝雷帽 发表于 2025-3-27 14:10:01
Quasi-Modes in Higher Dimensionhe same domain given by . Here . denotes the Hamilton vector field of .. The following result is due to Zworski, who obtained it via a semi-classical reduction from the above mentioned result of Hörmander. A direct proof was given in Dencker et al. and here we give a variant. We will assume some familiarity with symplectic geometry.nauseate 发表于 2025-3-27 21:50:33
http://reply.papertrans.cn/67/6671/667022/667022_36.pngexhilaration 发表于 2025-3-28 00:17:05
Counting Zeros of Holomorphic Functionsand (Math Ann 342(1):177–243, 2008. .) we obtained such a generalization, by weakening the regularity assumptions on the functions .. However, due to some logarithmic losses, we were not quite able to recover Hager’s original result, and we still had a fixed domain Γ with smooth boundary.偶然 发表于 2025-3-28 05:39:00
Perturbations of Jordan Blocksmall (random) perturbation of .. we expect the eigenvalues to move inside a small neighborhood of .. In the special case when . = (.|..).., where . is the canonical basis in .., we have seen in Sect. . that the eigenvalues of .. are of the form . so if we fix 0 < . ≪ 1 and let . →., the spectrum “will converge to a uniform distribution on ..”.CAMEO 发表于 2025-3-28 08:18:02
http://reply.papertrans.cn/67/6671/667022/667022_39.pnganimated 发表于 2025-3-28 12:49:12
http://reply.papertrans.cn/67/6671/667022/667022_40.png