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 .
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 .
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Vladimir Petrov Kostov 1
@article{CRMATH_2009__347_23-24_1355_0, author = {Vladimir Petrov Kostov}, title = {A mapping connected with the {Schur{\textendash}Szeg\H{o}} composition}, journal = {Comptes Rendus. Math\'ematique}, pages = {1355--1360}, publisher = {Elsevier}, volume = {347}, number = {23-24}, year = {2009}, doi = {10.1016/j.crma.2009.10.025}, language = {en}, }
Vladimir Petrov Kostov. A mapping connected with the Schur–Szegő composition. Comptes Rendus. Mathématique, Volume 347 (2009) no. 23-24, pp. 1355-1360. doi : 10.1016/j.crma.2009.10.025. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.10.025/
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