| Full text | |
| Author(s): |
Faustino, Nelson
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Estadual Campinas, IMECC, Dept Matemat Aplicada, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | Symmetry Integrability and Geometry-Methods and Applications; v. 9, 2013. |
| Web of Science Citations: | 4 |
| 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. The Fourier decomposition of the space of Clifford-vector-valued polynomials with respect to the SO(n)Xsu(1,1)-module gives rise to the construction of new families of polynomial sequences as eigenfunctions of a coupled system involving forward/backward discretizations E+/-h of the Euler operator E=j=1nxjxj. Moreover, the interpretation of the one-parameter representation Eh(t)=exp(tE-h-tE+h) of the Lie group SU(1,1) as a semigroup (Eh(t))t=0 will allows us to describe the polynomial solutions of an homogeneous Cauchy problem on {[}0,8)XhZn involving the differencial-difference operator partial derivative(t)+E-h(+)-E-h(-). (AU) | |
| FAPESP's process: | 13/07590-8 - Applications of discrete Clifford calculus in field theories |
| Grantee: | Nelson José Rodrigues Faustino |
| Support type: | Scholarships in Brazil - Post-Doctorate |