On the Szegő transformation for some spectral perturbations of matrix measures

E. Fuentes, L. E. Garza*, H. Dueñas

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Given a normalized measure μ supported on [−1,1], a measure σ supported on the unit circle can be defined by using the so-called Szegő transformation. This also establishes a well known relation between the corresponding Stieltjes and Carathéodory functions. In this contribution, we obtain a generalization to the matrix case of this relation for matrix measures μ and σ, and such generalization is used to obtain necessary conditions such that some spectral perturbations applied to μ are preserved under the matrix Szegő transformation.

Original languageEnglish
Article number125036
JournalJournal of Mathematical Analysis and Applications
Issue number1
Publication statusPublished - 1 Jul 2021
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2021 Elsevier Inc.

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics


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