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Polynomials in Many Variables: Real vs Complex Norms

✍ Scribed by R. Aron; B. Beauzamy; P. Enflo

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 444 KB
Volume: 74
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1993.1060

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✦ Synopsis

We study, for polynomials in many variables, the relations between the complex and the real sup-norms, and we give estimates involving the leading coefficients. We consider the case when the polynomial has a given degree, or some concentration at a given degree. The present paper is a contribution to a general field of investigation: For polynomials in many variables, what are the estimates independent of the number of variables? 1993 Academic Press. Inc

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