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Pick interpolation in several variables

Authors :
Hamilton, Ryan
Publication Year :
2011

Abstract

We investigate the Pick problem for the polydisk and unit ball using dual algebra techniques. Some factorization results for Bergman spaces are used to describe a Pick theorem for any bounded region in $\mathbb{C}^d$.<br />Comment: v2, minor revisions. 7 pages

Subjects

Subjects :
Mathematics - Functional Analysis
Mathematics - Complex Variables

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1110.0445
Document Type :
Working Paper

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