论文标题
分化算子在间隔的正常类型的超平差功能的贝库空间中
Differentiation operator in the Beurling space of ultradifferentiable functions of normal type on an interval
论文作者
论文摘要
在本文中，我们研究了在分化运算符下不变的超平稳性功能的封闭子空间。我们提出了一个光谱合成的版本，该版本考虑了不包含指数单元的非平凡分化不变子空间的存在。作为应用程序，我们描述了<< local >>均匀卷积方程的有限和无限系统的解决方案集。
In this paper we study closed subspaces of ultradifferentiable functions which are invariant under the differentiation operator. We propose a version of spectral synthesis which takes into account the presence of non-trivial differentiation invariant subspaces containing no exponential monomials. As an application, we describe the sets of solutions of finite and infinite systems of <<local>> homogeneous convolution equations.
