Abstract

Potential functions associated with eigenfunctions of the discrete Sturm–Liouville operator are studied in a loaded space. On the basis of representations of kernels with respect to the corresponding orthogonal polynomials, an estimate for the growth of potential functions is obtained.

中文翻译：

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离散Sturm–Liouville算子的本征函数的潜在函数

摘要

在负载空间中研究了与离散Sturm–Liouville算子的本征函数相关的势函数。基于核相对于相应的正交多项式的表示，获得对潜在函数的增长的估计。