Sums of squares of polynomials

American Mathematical Monthly

Volumn 107, Issue 9, 2000, Pages 813-821

  Rudin, Walter ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034345770     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/2695736     Document Type: Article

References (10)

1. Emil Artin, Über die Zerlegung definiter Funktionenin Quadrate, Hamb. Abh. 5 (1927) 100-115.
2. W. J. Ellison, Review of [9], Math. Rev. 49 (1975) #2647.
3. Herbert Federer, Geometric Measure Theory, Springer-Verlag, New York, 1969.
4. David Hubert, Über die Darstellung definiter Formen als Summe von Formenquadraten, Math. Ann. 32 (1888) 342-350.
5. Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton University Press, Princeton, 1948.
6. Frank Morgan, Geometric Measure Theory, Academic Press, Boston, 1988.
7. T. S. Motzkin, The arithmetic-geometric inequality, in Inequalities, Oved Shisha, ed., Academic Press, Boston, 1967, pp. 205-224.
8. Albrecht Pfister, Hubert's seventeenth problem and related problems on definite forms, in Mathematical Developments arising from Hilbert Problems, American Mathematical Society, Providence, 1976, pp. 483-489.
9. Raphael M. Robinson, Some definite polynomials which are not sums of squares of real polynomials, Notices Amer. Math. Soc. 16 (1969) 554.
10. Walter Rudin, Principles of Mathematical Analysis, 3rd ed., McGraw-Hill, New York, 1976.