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.
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@article{CRMATH_2015__353_1_11_0, author = {Lamprecht, Martin}, 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}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2014.10.017/} }
TY - JOUR AU - Lamprecht, Martin TI - A continuous link between the disk and half-plane cases of Grace's theorem JO - Comptes Rendus. Mathématique PY - 2015 SP - 11 EP - 15 VL - 353 IS - 1 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2014.10.017/ DO - 10.1016/j.crma.2014.10.017 LA - en ID - CRMATH_2015__353_1_11_0 ER -
%0 Journal Article %A Lamprecht, Martin %T A continuous link between the disk and half-plane cases of Grace's theorem %J Comptes Rendus. Mathématique %D 2015 %P 11-15 %V 353 %N 1 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2014.10.017/ %R 10.1016/j.crma.2014.10.017 %G en %F CRMATH_2015__353_1_11_0
Lamprecht, Martin. A continuous link between the disk and half-plane cases of Grace's theorem. Comptes Rendus. Mathématique, Tome 353 (2015) no. 1, pp. 11-15. doi : 10.1016/j.crma.2014.10.017. http://archive.numdam.org/articles/10.1016/j.crma.2014.10.017/
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