Geodesic
The Behaviour of Legendre And Ultraspherical Polynomials in Lp -Spaces
Canadian journal of mathematics, Tome 50 (1998) no. 6, pp. 1236-1252

Voir la notice de l'article provenant de la source Cambridge University Press

We consider the analogue of the $\wedge (p)$ ―problem for subsets of the Legendre polynomials or more general ultraspherical polynomials. We obtain the “best possible” result that if $2\,<\,p\,<\,4$ then a random subset of $N$ Legendre polynomials of size ${{N}^{4/p-1}}$ spans an Hilbertian subspace. We also answer a question of König concerning the structure of the space of polynomials of degree $n$ in various weighted ${{L}_{p}}$ -spaces.
DOI : 10.4153/CJM-1998-060-0
Mots-clés : 42C10, 33C45, 46B07 
Kalton, N. J.; Tzafriri, L. The Behaviour of Legendre And Ultraspherical Polynomials in Lp -Spaces. Canadian journal of mathematics, Tome 50 (1998) no. 6, pp. 1236-1252. doi: 10.4153/CJM-1998-060-0
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