Distributional equation for Laguerre-Hahn functionals on the unit circle

Let u be a hermitian linear functional defined in the linear space of Laurent polynomials and F its corresponding Carath´eodory function. We establish the equivalence between a Riccati differential equation with polynomial coefficients for F, zAF′ = BF2+CF +D and a distributional equation for u, D(A...

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Bibliographic Details
Main Author: Branquinho, A. (author)
Other Authors: Rebocho, M. N. (author)
Format: other
Language:eng
Published: 2007
Subjects:
Online Access:http://hdl.handle.net/10316/11283
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/11283