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.
Збережено в:
| Дата: | 2009 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149172 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149172 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1491722019-02-20T01:27:25Z Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials Airault, H. 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. 2009 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/149172 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Airault, H. |
| spellingShingle |
Airault, H. Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Airault, H. |
| author_sort |
Airault, H. |
| title |
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_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_sort |
vector fields on the space of functions univalent inside the unit disk via faber polynomials |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149172 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
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| first_indexed |
2023-05-20T17:32:30Z |
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2023-05-20T17:32:30Z |
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1796153527717855232 |