论文标题
在矩阵加权设置中的超平差功能的核全球空间
Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting
论文作者
论文摘要
我们证明，HERMITE函数是矩阵加权设置中许多全局加权函数的绝对基础，我们还确定了相应的系数空间，从而扩展了Langenbruch先前的工作。结果，我们为这些空间提供核能提供非常一般的条件。特别是，我们获得了由权重函数定义的空间的相应结果。
We prove that the Hermite functions are an absolute Schauder basis for many global weighted spaces of ultradifferentiable functions in the matrix weighted setting and we determine also the corresponding coefficient spaces, thus extending previous work by Langenbruch. As a consequence we give very general conditions for these spaces to be nuclear. In particular, we obtain the corresponding results for spaces defined by weight functions.
