Generators of rational Spectral Transformations Articles uri icon

publication date

  • April 2013

start page

  • 1057

end page

  • 1068

volume

  • 82

international standard serial number (ISSN)

  • 0025-5718

electronic international standard serial number (EISSN)

  • 1088-6842

abstract

  • In this paper we consider transformations of sequences of orthogonal polynomials associated with a Hermitian linear functional L using spectral transformations of the corresponding C-function F-L. We show that a rational spectral transformation of F with polynomial coefficients is a finite composition of four canonical spectral transformations.