Lower bounds for polynomials of a quaternionic variable
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- by Graziano Gentili and Daniele C. Struppa PDF
- Proc. Amer. Math. Soc. 140 (2012), 1659-1668 Request permission
Abstract:
We prove an analog of the Ehrenpreis-Malgrange Lemma for polynomials with quaternionic coefficients, and we apply it to obtain a bound on the growth of the quotient between a slice regular function and a quaternionic polynomial.References
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Additional Information
- Graziano Gentili
- Affiliation: Dipartimento di Matematica “U. Dini”, Università di Firenze, Viale Morgagni 67/A, 50134 Firenze, Italy
- MR Author ID: 189767
- ORCID: 0000-0002-5001-2187
- Email: gentili@math.unifi.it
- Daniele C. Struppa
- Affiliation: Schmid College of Science and Technology, Chapman University, Orange, California 92866
- MR Author ID: 168380
- ORCID: 0000-0002-3664-1729
- Email: struppa@chapman.edu
- Received by editor(s): November 8, 2010
- Received by editor(s) in revised form: January 13, 2011
- Published electronically: August 24, 2011
- Additional Notes: The authors express their gratitude to Chapman University for its partial support of this project
The first author acknowledges the support of G.N.S.A.G.A. of INdAM and MIUR (Research Project “Proprietà geometriche delle varietà reali e complesse”) - Communicated by: Franc Forstneric
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 1659-1668
- MSC (2010): Primary 30G35, 30C10
- DOI: https://doi.org/10.1090/S0002-9939-2011-11027-X
- MathSciNet review: 2869150
Dedicated: Dedicated to the memory of Professor Leon Ehrenpreis, 1930-2010