This is the first attempt to generalize the problem of \(L^1\) convergence of trigonometric series to the non-periodic case. We extend one of the most general results and then show the way how to derive its prototype from the obtained extension.

中文翻译：

---

$$ L ^ 1 $$ L 1傅立叶变换的收敛

这是将三角级数\（L ^ 1 \）收敛问题推广到非周期情况的首次尝试。我们扩展了最通用的结果之一，然后展示了如何从获得的扩展中导出其原型的方法。