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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
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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