径向薛定谔算子的混合谱问题与Paley-Wiener空间
The mixed spectral problem for radial Schrödinger operators and Paley-Wiener spaces
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中文总结 AI 辅助
本文研究有限区间径向薛定谔算子的逆谱问题，通过探讨Paley-Wiener空间与势函数的联系，借助完全指数系统，实现由较小区间的势函数和特征值确定整个区间的势函数。
中文摘要 AI 辅助
本文研究有限区间上径向薛定谔算子的逆谱问题，从给定特征值及势在较小区间上的信息中恢复势函数。方法是探讨Paley-Wiener空间与势函数之间的联系，借助完全指数系统，由较小区间上的势函数和一组特征值完全确定整个区间上的势函数。
英文摘要
The inverse spectral problem for the radial Schrödinger operators on the finite interval is investigated. The potential is recovered from the given eigenvalues plus its information on a smaller interval. The method is to discuss the connections between the Paley-Wiener spaces and the potentials, from which we completely determine the potential on the whole interval from the potential on a smaller interval and a set of eigenvalues in terms of the complete exponential systems.
