Symmetric Legendre–Sobolev orthogonal polynomials in the Pontryagin–Sobolev spaces
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 3, pp. 385-393
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Properties of a symmetric Legendre–Sobolev polynomials orthogonal with respect to a indefinite bilinear form are investigated. It is shown that these polynomials generate the Pontryagin–Sobolev indefinite space with a rank of indefiniteness equal 2.
@article{JMAG_2002_9_3_a5,
author = {B. P. Osilenker},
title = {Symmetric {Legendre{\textendash}Sobolev} orthogonal polynomials in the {Pontryagin{\textendash}Sobolev} spaces},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {385--393},
year = {2002},
volume = {9},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2002_9_3_a5/}
}
TY - JOUR AU - B. P. Osilenker TI - Symmetric Legendre–Sobolev orthogonal polynomials in the Pontryagin–Sobolev spaces JO - Žurnal matematičeskoj fiziki, analiza, geometrii PY - 2002 SP - 385 EP - 393 VL - 9 IS - 3 UR - http://geodesic.mathdoc.fr/item/JMAG_2002_9_3_a5/ LA - ru ID - JMAG_2002_9_3_a5 ER -
B. P. Osilenker. Symmetric Legendre–Sobolev orthogonal polynomials in the Pontryagin–Sobolev spaces. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 3, pp. 385-393. http://geodesic.mathdoc.fr/item/JMAG_2002_9_3_a5/