Sums of Squares of Polynomials

Sums of Squares of Polynomials

In Rudin's paper on the sums of squares and polynomials, all polynomials will be assumed to have real coefficients, and the phrase "sum of squares" will mean "sum of finitely many squares of polynomials." Rudin discusses an equation that functions under the premise n=1.

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Bibliographische Detailangaben
Veröffentlicht in:The American mathematical monthly 2000-11, Vol.107 (9), p.813-821
1. Verfasser: Rudin, Walter
Format: Artikel
Sprache:eng
Schlagworte:
Coefficients
Degrees of polynomials
Equivalence relation
Linear transformations
Mathematical analysis
Mathematical inequalities
Mathematical theorems
Measure theory
Polynomials
Vertices
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Beschreibung
Zusammenfassung:In Rudin's paper on the sums of squares and polynomials, all polynomials will be assumed to have real coefficients, and the phrase "sum of squares" will mean "sum of finitely many squares of polynomials." Rudin discusses an equation that functions under the premise n=1.
ISSN:0002-9890
1930-0972
DOI:10.1080/00029890.2000.12005275