This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
L. Fejer, Über trigonometrische Polynoms, J. für reine u. angew. Math. 146 (1916), pp. 55–82.
A. Lebow and M. Schreiber, Polynomials over groups and a theorem of Fejer and Riesz, Acta Sci. Math. 44 (1982), pp. 335–344.
D. Hilbert, Über die Darstellung definiter Formen als Summe von Formen-quadraten, Math. Ann. 32 (1888), pp. 332–350.
T. Motzkin, The arithmetic-geometric inequality, in "Inequalities", O. Shisha (ed.), pp. 205–224, Academic Press, New York 1967.
R. M. Robinson, Some definite polynomials which are not sums of squares of real polynomials, in "Selected Questions of Algebra and Logic", Academy of Sciences USSR, Novosibirsk 1973, pp. 264–282.
A. Lax and P. D. Lax, On sums of squares, Linear algebra and its applications 20 (1978), pp. 71–75.
M. Choi and T. Y. Lam, Extremal positive semi-definite forms, Math. Ann. 231 (1977), pp. 1–18.
E. Artin, Über die Zerlegung definiter Funktionen in Quadrate, Hamb. Abh. 5 (1927), pp. 100–115.
R. M. Robinson, private communication.
J. W. S. Cassels, On the representation of rational functions as sums of squares, Acta Arithm. 9 (1964), pp. 79–82.
Editor information
Rights and permissions
Copyright information
© 1985 Springer-Verlag
About this paper
Cite this paper
Naftalevich, A., Schreiber, M. (1985). Trigonometric polynomials and sums of squares. In: Chudnovsky, D.V., Chudnovsky, G.V., Cohn, H., Nathanson, M.B. (eds) Number Theory. Lecture Notes in Mathematics, vol 1135. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074607
Download citation
DOI: https://doi.org/10.1007/BFb0074607
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15649-9
Online ISBN: 978-3-540-39535-5
eBook Packages: Springer Book Archive