Work

A generating operator for Rankin–Cohen brackets

Year: 2025

Type: article

Abstract: 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.

Source: Journal of Functional Analysis

DOI: 10.1016/j.jfa.2025.110944

Authors: Toshiyuki Kobayashi, Michael Pevzner

Institutions: Centre National de la Recherche Scientifique, French-Japanese Laboratory of Mathematics and its Interactions, The University of Tokyo, Laboratoire de Mathématiques de Reims, Université de Reims Champagne-Ardenne

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,250

Funders: Japan Society for the Promotion of Science London, Japan Society for the Promotion of Science, Institut des Hautes Études Scientifiques, Université Paris-Saclay