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Memorias de investigación
Communications at congresses:
A linear non autonomous area-preserving map associated to the Szeg?o recurrence
Year:2009
Research Areas
  • Mathematics
Information
Abstract
Orthogonal sequences of monic polynomials on the unit circle verify the Szegö forward recurrence relation. We introduce a change which transforms the original recurrence in a map on the unit sphere of the algebra of coquaternions. This unit sphere forms a non-compact group isomorphic to SL(2;R). It allows us to introduce a linear area-preserving map. Companion factorization of matrices in SL(2;R) comes out its associated second order linear homogeneous difference equation, with variable coefficients. It provides an explicit representation of the solutions and simplifies the analysis of some features of Szegö recurrence.
International
No
Congress
15-th ICDEA Int. Conf. Difference Equations and Applications
960
Place
Estoril (Portugal)
Reviewers
Si
ISBN/ISSN
1111111111
Start Date
19/10/2009
End Date
23/10/2009
From page
19
To page
19
15-th ICDEA Int. Conf. Difference Equations and Applications. Abstracts book.
Participants
  • Autor: Jesus Carmelo Abderraman Marrero (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Polinomios Ortogonales y Geometría Fractal
  • Departamento: Matemática Aplicada a las Tecnologías de la Información
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