有限面积光滑非紧双曲曲面的点谱
The Point Spectrum of Smooth Noncompact Hyperbolic Surfaces with Finite Area
AI总结：
本文构造了有限面积非紧双曲曲面紧子集上的边值问题序列，证明其半双线性形式的稳定性与相容性，并给出薛定谔算子狄利克雷到诺伊曼算子的符号展开显式公式，便于计算机快速计算。
摘要：
我们构造了有限面积光滑非紧双曲曲面紧子集上的一序列边值问题。我们证明了与这些边值问题相关的半双线性形式在尖点处消失的连续函数上是稳定的且相容的。我们还给出了某个薛定谔算子的狄利克雷到诺伊曼算子的符号展开的显式形式。利用本文提供的公式，计算机可以快速计算该狄利克雷到诺伊曼算子展开中出现的符号。
英文摘要：
We construct a sequence of boundary value problems on compact subsets of smooth noncompact hyperbolic surfaces of finite area. We prove that the sesquilinear forms associated to these boundary value problems are stable as well as consistent at continuous functions which vanish at cusps. We also give an explicit form for the symbol expansion of the Dirichlet-to-Neumann operator of a certain Schrodinger operator. The symbols appearing in the expansion of this Dirichlet-to-Neumann operator can be calculated quickly by a computer using the formulas we provide in this paper.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
