反德西特空间 SOe(2,2)/SOe(2,1)$\mathop {rm {SO_e}}(2,2)/\mathop {\rm {SO_e}}(2,1)$ 的达朗贝尔共振

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2024-06-30 DOI:10.1002/mana.202300212

Simon Roby

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引用次数: 0

摘要

我们考虑了伪黎曼三维反德西特空间上的达朗贝尔函数作用。我们确定了这一算子的共振。每个共振都可以关联一个残差表示。我们通过朗兰兹参数对这些表示给出了明确的描述。

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Resonances of the d'Alembertian on the anti-de Sitter space SO e ( 2 , 2 ) / SO e ( 2 , 1 ) $\mathop {\rm {SO_e}}(2,2)/\mathop {\rm {SO_e}}(2,1)$

We consider the action of the d'Alembertian on functions on the pseudo-Riemannian three-dimensional anti-de Sitter space. We determine the resonances of this operator. With each resonance one can associate a residue representation. We give an explicit description of these representations via Langlands parameters.

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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