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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Pick interpolation in several variables


Author: Ryan Hamilton
Journal: Proc. Amer. Math. Soc. 141 (2013), 2097-2103
MSC (2010): Primary 47A57; Secondary 30E05, 46E22
Published electronically: January 30, 2013
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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$.


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Additional Information

Ryan Hamilton
Affiliation: Department of Pure Mathematics, University of Waterloo, 200 University Avenue West, Waterloo, Ontario N2L–3G1, Canada
Email: rhamilto@uwaterloo.ca

DOI: http://dx.doi.org/10.1090/S0002-9939-2013-11571-6
PII: S 0002-9939(2013)11571-6
Keywords: Pick interpolation, reproducing kernel, dual algebras
Received by editor(s): October 5, 2011
Published electronically: January 30, 2013
Additional Notes: This work was partially supported by an NSERC graduate scholarship
Communicated by: Richard Rochberg
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.