半格上向量值Jacobi算子的共振

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2025-08-17 DOI:10.1002/mana.70026

Evgeny Korotyaev

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引用次数: 0

摘要

研究了具有矩阵值系数和有限支持扰动的半晶格上Jacobi算子的共振。当扰动的主系数（决定支撑的长度）趋于零时，我们描述了一个禁域、共振的几何形状及其渐近性。此外，我们还展示了

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Resonances for vector-valued Jacobi operators on half-lattice

We study resonances for Jacobi operators on the half lattice with matrix-valued coefficients and finitely supported perturbations. We describe a forbidden domain, the geometry of resonances and their asymptotics when the main coefficient of the perturbation (determining its length of the support) goes to zero. Moreover, we show that

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index