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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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Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1)
Інший ID:
2010 Mathematics Subject Classification: 22E70; 30G35; 33C80; 39A12
DOI: http://dx.doi.org/10.3842/SIGMA.2013.065
DOI: http://dx.doi.org/10.3842/SIGMA.2013.065
Посилання:
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.
Підтримка:
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.
Дата:
2013
Переглядів:
454
Завантажень:
232
Анотація:
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.
