Clark Measures on Polydiscs Associated to Product Functions and Multiplicative Embeddings

We study Clark measures on the unit polydisc, giving an overview of recent research and investigating the Clark measures of some new examples of multivariate inner functions. In particular, we study the relationship between Clark measures and multiplication; first by introducing compositions of inne...

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Bibliographic Details
Published in:Complex analysis and operator theory 2024-05, Vol.18 (4), Article 101
Main Author: Jacobsson, Nell P.
Format: Article
Language:English
Subjects:
Analysis
Clark measure
Mathematics
Mathematics and Statistics
Multiplicative embedding
Operator Theory
Product function
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Summary:We study Clark measures on the unit polydisc, giving an overview of recent research and investigating the Clark measures of some new examples of multivariate inner functions. In particular, we study the relationship between Clark measures and multiplication; first by introducing compositions of inner functions and multiplicative embeddings, and then by studying products of one-variable inner functions.
ISSN:1661-8254
1661-8262
1661-8262
DOI:10.1007/s11785-024-01547-9