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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Faustino, Nelson [1]
Total Authors: 1
[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

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