On perturbed orthogonal polynomials on the real line and the unit circle via Szego's transformation Articles uri icon

publication date

  • June 2017

start page

  • 97

end page

  • 110

volume

  • 302

international standard serial number (ISSN)

  • 0096-3003

electronic international standard serial number (EISSN)

  • 1873-5649

abstract

  • By using the Szego's transformation we deduce new relations between the recurrence coefficients for orthogonal polynomials on the real line and the Verblunsky parameters of orthogonal polynomials on the unit circle. Moreover, we study the relation between the corresponding S-functions and C-functions.

keywords

  • szego transformation; co-polynomials; spectral transformations; transfer matrices