Kutzschebauch, Frank; Studer, Luca (2019). Exponential factorizations of holomorphic maps. Bulletin of the London Mathematical Society, 51(6), pp. 995-1004. Oxford University Press 10.1112/blms.12294
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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.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Kutzschebauch, Werner Frank, Studer, Luca |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0024-6093 |
Publisher: |
Oxford University Press |
Language: |
English |
Submitter: |
Michel Arthur Bik |
Date Deposited: |
26 Mar 2020 14:12 |
Last Modified: |
05 Dec 2022 15:36 |
Publisher DOI: |
10.1112/blms.12294 |
ArXiv ID: |
1905.01650 |
BORIS DOI: |
10.7892/boris.140694 |
URI: |
https://boris.unibe.ch/id/eprint/140694 |
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