Comptes Rendus
no. 1
Complex analysis
A continuous link between the disk and half-plane cases of Grace's theorem
Presented by: 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

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.

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.

Received:
Accepted:
Published online:
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

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