论文标题
Cosh加权有限的Hilbert Transform的属性
Properties of cosh-weighted Finite Hilbert Transform
论文作者
论文摘要
Sokhotski-plemelj公式和Poincare-Bertrand公式重新仔细仔细了，COSH加权有限的Hilbert Transform和Bertola-Katsevich-tovbis反转公式的几种身份。明确的公式是针对指数Chebyshev函数的COSH加权Hilbert变换得出的。进行数值实验以研究反转公式的计算效应。
Several identities of the cosh-weighted finite Hilbert Transform and the Bertola-Katsevich-Tovbis inversion formulas are rederived by the Sokhotski-Plemelj formula and the Poincare-Bertrand formula. The explicit formulas are derived for the cosh-weighted Hilbert transform of the exponential Chebyshev functions. Numerical experiments are performed to study the computational effects of the inversion formulas.
