Pick interpolation in several variables

Author:
Ryan Hamilton

Journal:
Proc. Amer. Math. Soc. **141** (2013), 2097-2103

MSC (2010):
Primary 47A57; Secondary 30E05, 46E22

DOI:
https://doi.org/10.1090/S0002-9939-2013-11571-6

Published electronically:
January 30, 2013

MathSciNet review:
3034435

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 .

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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:
https://doi.org/10.1090/S0002-9939-2013-11571-6

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.