Comptes Rendus
no. 1
Complex analysis
A continuous link between the disk and half-plane cases of Grace's theorem
[Un lien continu entre les cas du disque et du demi-plan dans le théorème de Grace]

Présenté par : Jean-Pierre Kahane

Martin Lamprecht1
1 Department of Computer Science and Engineering, European University of Cyprus, Diogenous Str. 6, Engomi, P.O. Box 22006, 1516 Nicosia, Cyprus
Comptes Rendus. Mathématique, Volume 353 (2015) no. 1, pp. 11-15.

On obtient un lien continu entre les cas du disque et du demi-plan dans le théorème de Grace, ainsi que de nouveaux domaines de zéros non cerclés, qui sont invariants par la convolution de Schur–Szegő.

We obtain a continuous link between the disk and half-plane cases of Grace's theorem and new, non-circular zero domains that stay invariant under the Schur–Szegő convolution.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.10.017
Martin Lamprecht 1

1 Department of Computer Science and Engineering, European University of Cyprus, Diogenous Str. 6, Engomi, P.O. Box 22006, 1516 Nicosia, Cyprus 
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Martin Lamprecht. A continuous link between the disk and half-plane cases of Grace's theorem. Comptes Rendus. Mathématique, Volume 353 (2015) no. 1, pp. 11-15. doi : 10.1016/j.crma.2014.10.017. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.10.017/

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[7] G. Szegő Bemerkungen zu einem Satz von J. H. Grace über die Wurzeln algebraischer Gleichungen, Math. Z., Volume 13 (1922), pp. 28-55

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