论文标题
关于超平优化类的广义定义
On generalized definitions of ultradifferentiable classes
论文作者
论文摘要
我们表明，S。Pilipović，N。Teofanov和F.Tomić引入和研究了超平差的平滑功能类别的平滑功能类别是特殊情况的特殊情况，即在A. Rainer和第三作者中根据体重矩阵定义的超级不同函数空间的一般框架。我们研究按重量序列和指数序列定义的“超出几何生长因子”的类别，证明这些新型类型允许权重矩阵表示，并将已知结果从基质类型转移到这种非标准超扩散性设置。
We show that the ultradifferentiable-like classes of smooth functions introduced and studied by S. Pilipović, N. Teofanov and F. Tomić are special cases of the general framework of spaces of ultradifferentiable functions defined in terms of weight matrices in the sense of A. Rainer and the third author. We study classes "beyond geometric growth factors" defined in terms of a weight sequence and an exponent sequence, prove that these new types admit a weight matrix representation and transfer known results from the matrix-type to such a non-standard ultradifferentiable setting.
