Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1)

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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dc.contributor.author	Faustino, N.
dc.date.accessioned	2019-02-21T07:12:33Z
dc.date.available	2019-02-21T07:12:33Z
dc.date.issued	2013
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 22E70; 30G35; 33C80; 39A12
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.065
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149357
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1)	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA