论文标题
Rellich型定理用于广义振荡器
A Rellich type theorem for the generalized oscillator
论文作者
论文摘要
对于广义振荡器，我们证明了Rellich型定理，或表征了本征函数的生长顺序。这些证据是通过广泛使用ITO和Skibsted最近发明的换向争论来给出的。这些论点简单而基本，不使用能量截止或微局部分析。
For the generalized oscillator, we prove a Rellich type theorem, or characterize the order of growth of eigenfunctions. The proofs are given by an extensive use of commutator arguments invented recently by Ito and Skibsted. These arguments are simple and elementary and do not employ energy cut-offs or microlocal analysis.
