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.
Accepté le :
Publié le :
Martin Lamprecht 1
@article{CRMATH_2015__353_1_11_0, author = {Martin Lamprecht}, title = {A continuous link between the disk and half-plane cases of {Grace's} theorem}, journal = {Comptes Rendus. Math\'ematique}, pages = {11--15}, publisher = {Elsevier}, volume = {353}, number = {1}, year = {2015}, doi = {10.1016/j.crma.2014.10.017}, language = {en}, }
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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