Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials
We obtain the Kirillov vector fields on the set of functions f univalent inside the unit disk, in terms of the Faber polynomials of 1/f(1/z). Our construction relies on the generating function for Faber polynomials.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2009 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149172 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials / H. Airault // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 8 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862737840904863744 |
|---|---|
| author | Airault, H. |
| author_facet | Airault, H. |
| citation_txt | Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials / H. Airault // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We obtain the Kirillov vector fields on the set of functions f univalent inside the unit disk, in terms of the Faber polynomials of 1/f(1/z). Our construction relies on the generating function for Faber polynomials.
|
| first_indexed | 2025-12-07T20:01:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149172 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:01:28Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Airault, H. 2019-02-19T18:00:53Z 2019-02-19T18:00:53Z 2009 Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials / H. Airault // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 8 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 17B66; 33C80; 35A30 https://nasplib.isofts.kiev.ua/handle/123456789/149172 We obtain the Kirillov vector fields on the set of functions f univalent inside the unit disk, in terms of the Faber polynomials of 1/f(1/z). Our construction relies on the generating function for Faber polynomials. This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials Article published earlier |
| spellingShingle | Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials Airault, H. |
| title | Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials |
| title_full | Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials |
| title_fullStr | Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials |
| title_full_unstemmed | Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials |
| title_short | Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials |
| title_sort | vector fields on the space of functions univalent inside the unit disk via faber polynomials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149172 |
| work_keys_str_mv | AT airaulth vectorfieldsonthespaceoffunctionsunivalentinsidetheunitdiskviafaberpolynomials |