$C_0$-群和余弦函数的Hermite展开
泛函分析
2014-08-15 v2
摘要
本文引入向量值Hermite展开来逼近单参数算子族，如-群和余弦函数。在两种情况下，我们估计了这些Hermite展开到相关族的收敛速度，并与其他已知逼近进行了比较。最后，我们通过-群和余弦函数及其Hermite展开的具体例子来说明我们的结果。
引用
@article{arxiv.1404.3871,
title = {Hermite expansions of $C_0$-groups and cosine functions},
author = {Luciano Abadias and Pedro J. Miana},
journal= {arXiv preprint arXiv:1404.3871},
year = {2014}
}
备注
22 pages. This is a new version of our work about Hermite expansions, in which we complement some of the existing results, and we have added other relevant theorems related to the problem of expansions of groups and cosine funcions through Hermite polynomials