An operator approach to multipoint Pade approximations

Simple item page
dc.creatorDerevyagin, Maxim S.
dc.creatorZhedanov, Alexei S.
dc.date2008-02-23
dc.date2008-06-28
dc.date.accessioned2026-07-07T09:46:59Z
dc.date.available2026-07-07T09:46:59Z
dc.descriptionFirst, an abstract scheme of constructing biorthogonal rational systems related to some interpolation problems is proposed. We also present a modification of the famous step-by-step process of solving the Nevanlinna-Pick problems for Nevanlinna functions. The process in question gives rise to three-term recurrence relations with coefficients depending on the spectral parameter. These relations can be rewritten in the matrix form by means of two Jacobi matrices. As a result, a convergence theorem for multipoint Padé approximants to Nevanlinna functions is proved.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0802.3432
dc.identifierhttp://arxiv.org/abs/0802.3432
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163716
dc.subjectClassical Analysis and ODEs
dc.subjectComplex Variables
dc.subjectSpectral Theory
dc.subject30E05, 41A21, 47B36 (Primary); 30E10, 40A15, 47A57 (Secondary)
dc.titleAn operator approach to multipoint Pade approximations
dc.typetext

Files

Collections

arXiv