Complex Creation Operator and Planar Automorphic Functions

被引：2
|
作者：
Allal, Ghanmi [1 ]
Lahcen, Imlal [1 ]
机构：
[1] Mohammed V Univ Rabat, Fac Sci, Dept Math, Analysis,PDE & Spectral Geometry,Lab MIA SI,CeReMA, POB 1014, Rabat, Morocco
来源：
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2023年 / 26卷 / 04期
关键词：
Magnetic Laplacian; Creation operator; Automorphic functions; Poly-analytic functions; Poly-Bargmann spaces; GENERALIZED BARGMANN SPACES;
D O I：
10.1007/s11040-023-09471-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide a concrete characterization of the poly-analytic planar automorphic functions, a special class of non analytic planar automorphic functions with respect to the Appell-Humbert automorphy factor, arising as images of the holomorphic ones by means of the creation differential operator. This is closely connected to the spectral theory of the magnetic Laplacian on the complex plane.
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页数：18
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