We prove semiclassical resolvent estimates for real-valued potentials V∈L∞(Rn), n⩾3, of the form V=VL+VS, where VL is a long-range potential which is C1 with respect to the radial variable, while VS is a short-range potential satisfying VS(x)=O(⟨x⟩−δ) with δ>1.

中文翻译：

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短距离L∞电位的半经典可分辨估计。II

我们证明了实值电势V∈L∞（Rn），n⩾3的半经典可分解估计，形式为V = VL + VS，其中VL是一个远程电势，相对于径向变量为C1，而VS是满足VS（x）= O（⟨x⟩-δ）且δ> 1的短程电势。