Test functions in constrained interpolation
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- by Michael A. Dritschel and James Pickering PDF
- Trans. Amer. Math. Soc. 364 (2012), 5589-5604 Request permission
Abstract:
We give a set of test functions for $H_{1}^{\infty }$, the algebra of bounded holomorphic functions on the disk with first derivative equal to $0$, whose interpolation problem was studied by Davidson, Paulsen, Raghupathi and Singh (2009). We show that this set of test functions is minimal by relating these ideas to realization and interpolation problems.References
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Additional Information
- Michael A. Dritschel
- Affiliation: Department of Mathematics, University of Newcastle-upon-Tyne, Newcastle-upon-Tyne, NE1 7RU, United Kingdom
- Email: m.a.dritschel@ncl.ac.uk
- James Pickering
- Affiliation: Department of Mathematics, University of Newcastle-upon-Tyne, Newcastle-upon-Tyne, NE1 7RU, United Kingdom
- Email: james.pickering@ncl.ac.uk
- Received by editor(s): April 21, 2009
- Published electronically: June 8, 2012
- Additional Notes: This paper is based on work contributing to the second author’s Ph.D. thesis, at the University of Newcastle-upon-Tyne, under the supervision of the first author. The work was funded in part by the Engineering and Physical Sciences Research Council.
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 364 (2012), 5589-5604
- MSC (2010): Primary 47A57; Secondary 32C15, 46E20, 46E22, 47B32
- DOI: https://doi.org/10.1090/S0002-9947-2012-05515-2
- MathSciNet review: 2946923