广义解析子的函数模型及其在时间色散介质中的应用

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2024-11-28 DOI:10.1007/s13324-024-00993-0

Kirill D. Cherednichenko, Yulia Yu. Ershova, Sergey N. Naboko

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引用次数: 0

摘要

最近的研究结果涉及具有高度对比系数的微分算子的渐近行为，其有效描述涉及广义分解项，受此激励，我们为后者的一个典型例子构建了函数模型。这为广义分解算子提供了光谱表示，可用于进一步分析，特别是在相关波传播设置中构建散射算子。

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Functional model for generalised resolvents and its application to time-dispersive media

Motivated by recent results concerning the asymptotic behaviour of differential operators with highly contrasting coefficients, whose effective descriptions have involved generalised resolvents, we construct the functional model for a typical example of the latter. This provides a spectral representation for the generalised resolvent, which can be utilised for further analysis, in particular the construction of the scattering operator in related wave propagation setups.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.