Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example
Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example
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DOI：
10.4171/jncg/349
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发表时间：
2017-11
影响因子：
0.9
通讯作者：
H. Inoue;S. Richard
中科院分区：
文献类型：
--
作者：
H. Inoue;S. Richard
基于借鉴散射理论的算子，提出了指数定理的几种具体实现。相应的算子属于伪微分算子的一些 C* 代数，其系数要么具有正负无穷大的极限，要么是周期或渐近周期的，或者是一致几乎周期的。这些不同的情况可以从取决于多个参数的单个部分等距推断出来。所有计算都是显式执行的。
Based on operators borrowed from scattering theory, several concrete realizations of index theorems are proposed. The corresponding operators belong to some C*-algebras of pseudo-differential operators with coefficients which either have limits at plus and minus infinity, or which are periodic or asymptotically periodic, or which are uniformly almost periodic. These various situations can be deduced from a single partial isometry which depends on several parameters. All computations are explicitly performed.