权函数环上的模及其在一类积分算子中的应用
环与代数
2019-04-01 v2
摘要
本文引入了权函数环上的新模，从而从环论的角度恢复了调和分析中的经典结果。此外，我们证明了 Laplace 变换、Fourier 变换和 Hankel 变换生成了权函数环上的某种模。
关键词
引用
@article{arxiv.1701.00135,
title = {Modules Over the Ring of Ponderation functions with Applications to a Class of Integral Operators},
author = {Miloud Assal and Nasr A. Zeyada},
journal= {arXiv preprint arXiv:1701.00135},
year = {2019}
}
备注
ponderation functions used in this article are : $\varphi(\gamma)=(|\gamma|+n-1)!(-1)^{|\gamma|}, and so on . The fact that these ponderation functions increase exponentially makes most of formulas for the symbolic calculus of Bessel integral operators unavailable and then all results related to these ponderations functions in this paper are wrong