[Polynômes orthogonaux contraints.]
Nous définissons des ensembles des polynômes orthogonaux sous des contraintes diverses. C'est notamment les cas d'une généralisation de polynômes d'Hermite, contraintes par une moyenne de zéro, pour la fonctionnelle de Hohenberg–Kohn. Ils permettent le calcul des perturbations de potentiel qui engendrent strictement la même forme pour les perturbations de densité.
We define sets of orthogonal polynomials which lack one or several degrees, because of a finite number of constraints. In particular, we are interested in a generalization of Hermite polynomials, governed by a constraint of zero average. These are of interest, for example, for the study of the Hohenberg–Kohn functional. In particular, they allow the calculation of potential perturbations which generate strictly proportional density perturbations.
Accepté le :
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Bertrand G. Giraud 1 ; M.L. Mehta 1 ; A. Weiguny 2
@article{CRPHYS_2004__5_7_781_0, author = {Bertrand G. Giraud and M.L. Mehta and A. Weiguny}, title = {Orthogonal polynomial sets with finite codimensions}, journal = {Comptes Rendus. Physique}, pages = {781--787}, publisher = {Elsevier}, volume = {5}, number = {7}, year = {2004}, doi = {10.1016/j.crhy.2004.09.017}, language = {en}, }
Bertrand G. Giraud; M.L. Mehta; A. Weiguny. Orthogonal polynomial sets with finite codimensions. Comptes Rendus. Physique, Ice: from dislocations to icy satellites, Volume 5 (2004) no. 7, pp. 781-787. doi : 10.1016/j.crhy.2004.09.017. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2004.09.017/
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