论文标题

短周期产品上的一些邻接不变空间

Some adjacency-invariant spaces on products of short cycles

论文作者

Hogan, Jeffrey A., Lakey, Joseph D.

论文摘要

我们研究了与整数模量M的N折产物相对应的Cayley图上的某些空间,其中M = 3、4或5,在邻接的邻居中以给定顶点映射值的值,它们在邻近的邻居下映射一个值。还讨论了对空间频谱限制的应用,即时间和频段限制的类似物。

We study certain spaces of vertex functions on the Cayley graphs corresponding to N-fold products of the group of integers modulo m, where m=3, 4, or 5, that are invariant under the adjacency operator that maps a value at a given vertex to each of its neighbors. An application to spatio-spectral limiting, an analogue of time and band limiting, is also discussed.

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