Lower bounds for polynomials of a quaternionic variable
Authors:
Graziano Gentili and Daniele C. Struppa
Journal:
Proc. Amer. Math. Soc. 140 (2012), 1659-1668
MSC (2010):
Primary 30G35, 30C10
Posted:
August 24, 2011
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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
Email:
gentili@math.unifi.it
Daniele C. Struppa
Affiliation:
Schmid College of Science and Technology, Chapman University, Orange, California 92866
Email:
struppa@chapman.edu
DOI:
http://dx.doi.org/10.1090/S0002-9939-2011-11027-X
PII:
S 0002-9939(2011)11027-X
Received by editor(s):
November 8, 2010
Received by editor(s) in revised form:
January 13, 2011
Posted:
August 24, 2011
Additional Notes:
The authors express their gratitude to Chapman University for its partial support of this projectDedicated:
Dedicated to the memory of Professor Leon Ehrenpreis, 1930-2010
Communicated by:
Franc Forstneric
Article copyright:
© Copyright 2011 American Mathematical Society
