Document details

Distributional equation for Laguerre-Hahn functionals on the unit circle

Author(s): Branquinho, A. cv logo 1 ; Rebocho, M. N. cv logo 2

Date: 2007

Persistent ID: http://hdl.handle.net/10316/11283

Origin: Estudo Geral - Universidade de Coimbra

Subject(s): Hermitian functionals; Measures on the unit circle; Carathéodory function; Laguerre-Hahn affine class on the unit circle; Semi-classical functionals


Description
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 CMUC; FCT SFRH/BD/25426/2005
Document Type Preprint
Language English
delicious logo  facebook logo  linkedin logo  twitter logo 
degois logo
mendeley logo

Related documents



    Financiadores do RCAAP

Fundação para a Ciência e a Tecnologia Universidade do Minho   Governo Português Ministério da Educação e Ciência Programa Operacional da Sociedade do Conhecimento EU