Clark Measures on Polydiscs Associated to Product Functions and Multiplicative Embeddings

IF 0.7 4区数学 Q2 MATHEMATICS Complex Analysis and Operator Theory Pub Date : 2024-05-21 DOI:10.1007/s11785-024-01547-9

Nell P. Jacobsson

引用次数: 0

Abstract

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.

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与积函数和乘法嵌入相关的多圆盘上的克拉克量纲

我们研究了单位多圆盘上的克拉克计量，概述了最近的研究，并研究了一些新的多元内函数实例的克拉克计量。我们特别研究了克拉克量与乘法之间的关系；首先介绍了内函数的组合和乘法嵌入，然后研究了一变量内函数的乘积。

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来源期刊

Complex Analysis and Operator Theory 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

107

审稿时长

3 months

期刊介绍： Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.

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