Moreover, we consider the regularity and stability of Pritchard-Salamon systems, we obtain that perturbation semigroups persist norm continuity, compactness and analyticity of unperturbation semigroups.

此外，对Pritchard-Salamon系统的正则性与稳定性进行了研究，我们发现扰动半群保持未扰动半群的范数连续性，紧性和解析性。

Quine's criticism has caused a further discussion on analyticity and the philosophical theory which behind the issue of the cleavage between analytic propositions and Synthetic propositions.

蒯因的批判引发了人们对分析性问题以及分析—综合这一问题背后哲学理论的进一步探讨。

The shortcomings of real wavelet transform in signal processing field are introduced in detail. However, other complex wavelet is lack of analyticity.

详细介绍了实小波在信号处理中的缺陷,以及其他复小波缺乏解析性,进而引出双树复小波包理论。