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Kernels with complete Nevanlinna-Pick factors and the characteristic function

Year: 2025

Type: article

Abstract: We present a unified framework for deriving characteristic functions for kernels that allow a complete Nevanlinna-Pick factor. Notably, our approach not only encapsulates all previously documented cases but also achieves a generalization, thereby expanding the concept of the characteristic function substantially. We also provide an explanation for the prominence of the Drury-Arveson kernel in all previously established results by showing that the Drury-Arveson kernel was the natural choice inherently suitable for those situations.

Source: Journal of Operator Theory

DOI: 10.7900/jot.2023dec09.2445

Authors: Tirthankar Bhattacharyya, Abhay Jindal

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Department of Science and Technology, Ministry of Science and Technology, India, Ministry of Education, India, Science and Engineering Research Board

Awards: G1613444838, G4833659709, G7947758560

OpenAlex ID: W4414580884

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