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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2013 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2013
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149357 |
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| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1) |
| spellingShingle |
Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1) Faustino, N. |
| title_short |
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_sort |
special functions of hypercomplex variable on the lattice based on su(1,1) |
| author |
Faustino, N. |
| author_facet |
Faustino, N. |
| publishDate |
2013 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149357 |
| 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. |
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AT faustinon specialfunctionsofhypercomplexvariableonthelatticebasedonsu11 |
| first_indexed |
2025-12-07T16:01:57Z |
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2025-12-07T16:01:57Z |
| _version_ |
1850865947563261952 |