MULTIPOINT SCHUR ALGORITHM AND ORTHOGONAL RATIONAL FUNCTIONS, I: CONVERGENCE PROPERTIES

作者:Baratchart L*; Kupin S; Lunot V; Olivi M
来源:Journal d Analyse Mathematique, 2011, 114: 207-253.
DOI:10.1007/s11854-011-0016-9

摘要

Classical Schur analysis is intimately related to the theory of orthogonal polynomials on the circle. We investigate the connection between multipoint Schur analysis and orthogonal rational functions. Specifically, we study the convergence of the Wall rational functions via the development of a rational analogue to the Szego theory in the case that interpolation points may accumulate on the unit circle. This leads to a generalization of results in [22, 10], and new types of asymptotics.

  • 出版日期2011-9
  • 单位INRIA