论文标题
Wiener-HOPF操作员的频谱表示，SINC内核和一些相关操作员
Spectral Representations of the Wiener-Hopf Operator for the sinc Kernel and some Related Operators
论文作者
论文摘要
给出了具有内核$ 1/π$ sinc的Wiener-HOPF运算符k的频谱表示形式，以明确确定希尔伯特空间同构，这将k在$ l^2（0,1）上的身份转换为乘法运算符。研究了几个相关的整体操作员。 k与有限的希尔伯特转化的密切关系显示出产生后者的光谱表示。这特别令人感兴趣，因为它涉及自动伴侣Wiener-HOPF操作员的一般特征[15]。
The spectral representation of the Wiener-Hopf operator K with kernel $1/π$ sinc is given determining explicitly the Hilbert space isomorphism, which transforms K into the multiplication operator by the identity on $L^2(0,1)$. Several related integral operators are studied. A close relationship of K to the finite Hilbert transformation is revealed yielding the spectral representation of the latter. This is of particular interest as it concerns a general feature of self-adjoint Wiener-Hopf operators [15].
