## Pick interpolation in several variables

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**141**(2013), 2097-2103 Request permission

## 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 $\mathbb {C}^d$.## References

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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
- 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
- © Copyright 2013
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication. - 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
- MathSciNet review: 3034435