A spectral Szego theorem on the real line
A spectral Szego theorem on the real line
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DOI：
10.1016/j.aim.2019.106851
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发表时间：
2020-01-07
影响因子：
1.7
通讯作者：
Denisov, Sergey
中科院分区：
文献类型：
--
作者：
Bessonov, Roman;Denisov, Sergey
在逆谱理论的意义下，我们刻画了实线上具有有限熵积分(R)log w(T)/1+t(2)dt>；-无穷大的偶度量u=w dx+u(S)。作为推论，我们得到了Krein弦的谱测度具有收敛对数积分的判据。(C)2019 Elsevier Inc.保留所有权利。
We characterize even measures mu = w dx + mu(s) on the real line with finite entropy integral integral(R) log w(t)/1+t(2) dt > -infinity in terms of 2 x 2 Hamiltonians generated by in the sense of the inverse spectral theory. As a corollary, we obtain criterion for spectral measure of Krein string to have converging logarithmic integral. (C) 2019 Elsevier Inc. All rights reserved.