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https://hdl.handle.net/10316/11283| Title: | Distributional equation for Laguerre-Hahn functionals on the unit circle | Authors: | Branquinho, A. Rebocho, M. N. |
Keywords: | Hermitian functionals; Measures on the unit circle; Carathéodory function; Laguerre-Hahn affine class on the unit circle; Semi-classical functionals | Issue Date: | 2007 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 07-34 (2007) | Abstract: | 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(Au) = B1u2+ C1u+H1L, where L is the Lebesgue functional, and the polynomials B1,C1,D1 are defined in terms of the polynomials A,B,C,D | URI: | https://hdl.handle.net/10316/11283 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Vários |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Distributional equation for Laguerre-Hahn functionals.pdf | 138.58 kB | Adobe PDF | View/Open |
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