Abstract
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 language | English |
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Article number | 125036 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 499 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jul 2021 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2021 Elsevier Inc.
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics