We consider weighted uniform convergence of entire analogues of the Grünwald operator on the real line. The main result deals with convergence of entire interpolations of exponential type \(\tau >0\) at zeros of Bessel functions in spaces with homogeneous weights. We discuss extensions to Grünwald operators from de Branges spaces.

中文翻译：

---

实线上整个 Grünwald 算子的加权均匀收敛

我们在实线上考虑 Grünwald 算子的整个类似物的加权均匀收敛。主要结果涉及在具有齐次权重的空间中贝塞尔函数零点处指数类型\(\tau >0\)的整个插值的收敛。我们讨论从 de Branges 空间扩展到 Grünwald 算子。