Focal points and sup-norms of eigenfunctions II: the two-dimensional case
Focal points and sup-norms of eigenfunctions II: the two-dimensional case
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特征函数 II 的焦点和超范数:二维情况
DOI:
10.4171/rmi/905
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发表时间:
2016
影响因子:
1.2
通讯作者:
S. Zelditch
中科院分区:
文献类型:
--
作者:
C. Sogge;S. Zelditch
We use a purely dynamical argument on circle maps to improve a result in our accompanying article, [5], on real analytic surfaces possessing eigenfunctions that achieve maximal sup norm bounds. The improved result is that there exists a ‘pole’ p so that all geodesics emanating from p are smoothly closed.