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Funktsional'nyi Analiz i ego Prilozheniya, 2004, Volume 38, Issue 1, Pages 88–91
DOI: https://doi.org/10.4213/faa101 (Mi faa101) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Extremal Trigonometric and Power Polynomials in Several Variables

L. A. Sakhnovich

University of Connecticut
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DOI: https://doi.org/10.4213/faa101
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.
Received: 23.12.2002
English version:
Functional Analysis and Its Applications, 2004, Volume 38, Issue 1, Pages 72–74
DOI: https://doi.org/10.1023/B:FAIA.0000024872.39055.62
Bibliographic databases:
Document Type: Article
UDC: 517.57
Language: Russian
Citation: L. A. Sakhnovich, “Extremal Trigonometric and Power Polynomials in Several Variables”, Funktsional. Anal. i Prilozhen., 38:1 (2004), 88–91; Funct. Anal. Appl., 38:1 (2004), 72–74
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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