Extremal Trigonometric and Power Polynomials in Several Variables
Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 1, pp. 88-91
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We study extremal nonnegative polynomials in several variables. Our approach makes substantial use of block Toeplitz matrices. Note that the blocks of these matrices are themselves Toeplitz matrices.
Keywords:
trigonometric polynomial, supporting hyperplane, convex set.
@article{FAA_2004_38_1_a9,
author = {L. A. Sakhnovich},
title = {Extremal {Trigonometric} and {Power} {Polynomials} in {Several} {Variables}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {88--91},
year = {2004},
volume = {38},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2004_38_1_a9/}
}
L. A. Sakhnovich. Extremal Trigonometric and Power Polynomials in Several Variables. Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 1, pp. 88-91. http://geodesic.mathdoc.fr/item/FAA_2004_38_1_a9/
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