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Comptes Rendus Mathématique
Volume 347, n° 23-24
pages 1355-1360 (décembre 2009)
Doi : 10.1016/j.crma.2009.10.025
Received : 7 August 2008 ;  accepted : 27 October 2009
A mapping connected with the Schur–Szegő composition
Une application liée à la composition de Schur–Szegő
 

Vladimir Petrov Kostov
Université de Nice, Laboratoire de Mathématiques, UMR 6621, parc Valrose, 06108 Nice cedex 2, France 

Abstract

Every monic polynomial in one variable of the form  ,  , is presentable in a unique way as a Schur–Szegő composition of   polynomials of the form  . We prove geometric properties of the affine mapping associating to the coefficients of S the  -tuple of values of the elementary symmetric functions of the numbers  . To cite this article: V.P. Kostov, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.
Résumé

Tout polynôme unitaire à une variable de la forme  ,  , est présentable de façon unique comme composition de Schur–Szegő de   polynômes  . Nous prouvons des propriétés géométriques de l’application affine associant aux coefficients de S le  -uplet des valeurs des fonctions symétriques élémentaires des nombres  . Pour citer cet article : V.P. Kostov, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.


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