| A-函数关于Weyl函数m的反表示 |
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| 引用本文： | 李丽,黄振友.A-函数关于Weyl函数m的反表示[J].应用泛函分析学报,2012,14(3):239-244. |
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| 作者姓名： | 李丽 黄振友 |
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| 作者单位： | 1. 黄山学院 数学系,黄山,245041
2. 南京理工大学 数学系,南京,210094 |
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| 摘 要： | 考虑Simon反谱理论新方法中引入的A-函数,根据Weyl函数m关于A-函数的表示关系,利用广义函数和Fourier变换的方法求出A-函数关于Weyl函数m的反表示,该结论表明A-函数的本质是广义函数.
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| 关 键 词： | A-函数 Weyl函数 广义函数 Fourier变换 |
The Representation of A-function by Weyl Function m |
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| LI Li
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HUANG Zhenyou.The Representation of A-function by Weyl Function m[J].Acta Analysis Functionalis Applicata,2012,14(3):239-244. |
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| Authors: | LI Li HUANG Zhenyou |
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| Institution: | 1. The department of Mathematics, Huangshan University, Huangshan 245041, China 2. The department of Mathematics, Nanjing University of Science and Technology, Nanjing 210094, China |
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| Abstract: | In this paper, we consider the A-function introduced by Simon in his new approach to inverse spectral theory. Using theory of general functions, Fourier transforms and the representation of Weyl function by A-function, we get the representation of A-function by Weyl function. This result implies that A-function is a general function in essence. |
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| Keywords: | A-function Weyl function general function fourier transform |
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