This article is cited in 2 papers

Brief communications

Extremal Trigonometric and Power Polynomials in Several Variables

L. A. Sakhnovich

University of Connecticut

Abstract: 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.

UDC: 517.57

Received: 23.12.2002

DOI: 10.4213/faa101

 English version: Functional Analysis and Its Applications, 2004, 38:1, 72–74

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