[Sur les normes des opérateurs de projection harmoniques sur la sphère dans l'espace quaternionique]
En conséquence d'estimations intégrales pour trois classes d'harmoniques sphériques quaternioniques, nous prouvons quelques minorations pour la norme des projecteurs harmoniques quaternioniques, pour .
As a consequence of integral bounds for three classes of quaternionic spherical harmonics, we prove some bounds from below for the norm of quaternionic harmonic projectors, for .
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@article{CRMATH_2018__356_5_482_0,
author = {Bramati, Roberto and Casarino, Valentina and Ciatti, Paolo},
title = {On the norms of quaternionic harmonic projection operators},
journal = {Comptes Rendus. Math\'ematique},
pages = {482--488},
publisher = {Elsevier},
volume = {356},
number = {5},
year = {2018},
doi = {10.1016/j.crma.2018.03.011},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2018.03.011/}
}
TY - JOUR AU - Bramati, Roberto AU - Casarino, Valentina AU - Ciatti, Paolo TI - On the norms of quaternionic harmonic projection operators JO - Comptes Rendus. Mathématique PY - 2018 SP - 482 EP - 488 VL - 356 IS - 5 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2018.03.011/ DO - 10.1016/j.crma.2018.03.011 LA - en ID - CRMATH_2018__356_5_482_0 ER -
%0 Journal Article %A Bramati, Roberto %A Casarino, Valentina %A Ciatti, Paolo %T On the norms of quaternionic harmonic projection operators %J Comptes Rendus. Mathématique %D 2018 %P 482-488 %V 356 %N 5 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2018.03.011/ %R 10.1016/j.crma.2018.03.011 %G en %F CRMATH_2018__356_5_482_0
Bramati, Roberto; Casarino, Valentina; Ciatti, Paolo. On the norms of quaternionic harmonic projection operators. Comptes Rendus. Mathématique, Tome 356 (2018) no. 5, pp. 482-488. doi : 10.1016/j.crma.2018.03.011. http://www.numdam.org/articles/10.1016/j.crma.2018.03.011/
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