Exponential factorizations of holomorphic maps

被引：6
|
作者：
Kutzschebauch, Frank [1 ]
Studer, Luca [2 ]
机构：
[1] Univ Bern, CH-3012 Bern, Switzerland
[2] Univ Complutense Madrid, E-28040 Madrid, Spain
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2019年 / 51卷 / 06期
基金：
瑞士国家科学基金会;
关键词：
15A54; 15A16 (primary); 30H50; 32A38; 32E10; 48E25 (secondary);
D O I：
10.1112/blms.12294
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that any element of the special linear group SL2(R) is a product of two exponentials if the ring R is either the ring of holomorphic functions on an open Riemann surface or the disc algebra. This is sharp: one exponential factor is not enough since the exponential map corresponding to SL2(C) is not surjective. Our result extends to the linear group GL2(R), where it is sharp as well.
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页码：995 / 1004
页数：10
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