Rankin-Cohen括号的生成运算符

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-03-18 DOI:10.1016/j.jfa.2025.110944

Toshiyuki Kobayashi , Michael Pevzner

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引用次数: 0

摘要

在正交多项式生成函数的经典思想的激励下，我们对两个流形之间的微分算子族的“生成算子”展开了新的研究。利用高维剩余演算证明了Rankin-Cohen括号生成算子的一个新公式。从无限维表示理论的角度探讨了生成算子的各种结果。

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A generating operator for Rankin–Cohen brackets

Motivated by the classical ideas of generating functions for orthogonal polynomials, we initiate a new line of investigation on “generating operators” for a family of differential operators between two manifolds. We prove a novel formula of the generating operators for the Rankin–Cohen brackets by using higher-dimensional residue calculus. Various results on the generating operators are also explored from the perspective of infinite-dimensional representation theory.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis