Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1)
Based on the representation of a set of canonical operators on the lattice hZn, which are Clifford-vector-valued, we will introduce new families of special functions of hypercomplex variable possessing su(1,1) symmetries.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2013 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2013
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149357 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1) / N. Faustino // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 17 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862685526948052992 |
|---|---|
| author | Faustino, N. |
| author_facet | Faustino, N. |
| citation_txt | Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1) / N. Faustino // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 17 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Based on the representation of a set of canonical operators on the lattice hZn, which are Clifford-vector-valued, we will introduce new families of special functions of hypercomplex variable possessing su(1,1) symmetries.
|
| first_indexed | 2025-12-07T16:01:57Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149357 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:01:57Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Faustino, N. 2019-02-21T07:12:33Z 2019-02-21T07:12:33Z 2013 Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1) / N. Faustino // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 17 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 22E70; 30G35; 33C80; 39A12 DOI: http://dx.doi.org/10.3842/SIGMA.2013.065 https://nasplib.isofts.kiev.ua/handle/123456789/149357 Based on the representation of a set of canonical operators on the lattice hZn, which are Clifford-vector-valued, we will introduce new families of special functions of hypercomplex variable possessing su(1,1) symmetries. The work of the author was supported by the fellowship 13/07590-8 of FAPESP (S.P., Brazil)
 and by the project PTDC/MAT/114394/2009 funded by FCT (Portugal) through the European
 program COMPETE/FEDER. The author would like to thank to the anonymous referees for
 the careful reading and for the criticism through the reports. This allows to improve the quality
 of the former manuscript in a clever style and for Waldyr A. Rodrigues Jr. (IMECC–Unicamp)
 for the careful reading of the final version and for the important remarks concerning Section 2.
 The major part of this work was developed when the author was a research member of the
 Centre for Mathematics from University of Coimbra (Portugal). The author wish to express
 along these lines his gratitude to all members of the research centre for the excellent atmosphere
 and for the constant support that made these last three years a pure enjoyment. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1) Article published earlier |
| spellingShingle | Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1) Faustino, N. |
| title | Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1) |
| title_full | Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1) |
| title_fullStr | Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1) |
| title_full_unstemmed | Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1) |
| title_short | Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1) |
| title_sort | special functions of hypercomplex variable on the lattice based on su(1,1) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149357 |
| work_keys_str_mv | AT faustinon specialfunctionsofhypercomplexvariableonthelatticebasedonsu11 |