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 [...], which are Clifford-vector-valued, we will introduce new families of special functions of hypercomplex variable possessing [...] symmetries. The Fourier decomposition of the space of Clifford-vector-valued polynomials w...
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| Published in: | Symmetry, integrability and geometry, methods and applications Vol. 9; p. 065 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Kiev
National Academy of Sciences of Ukraine
05.11.2013
National Academy of Science of Ukraine |
| Subjects: | |
| ISSN: | 1815-0659, 1815-0659 |
| Online Access: | Get full text |
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| Summary: | Based on the representation of a set of canonical operators on the lattice [...], which are Clifford-vector-valued, we will introduce new families of special functions of hypercomplex variable possessing [...] symmetries. The Fourier decomposition of the space of Clifford-vector-valued polynomials with respect to the [...]-module gives rise to the construction of new families of polynomial sequences as eigenfunctions of a coupled system involving forward/backward discretizations [...] of the Euler operator [...]. Moreover, the interpretation of the one-parameter representation [...] of the Lie group [...] as a semigroup [...] will allows us to describe the polynomial solutions of an homogeneous Cauchy problem on [...] involving the differencial-difference operator [...]. [ProQuest: [...] denotes formulae omitted.] |
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| Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 1815-0659 1815-0659 |
| DOI: | 10.3842/SIGMA.2013.065 |