WHEN DOES A DISCRETE DIFFERENTIAL PERTURBATION OF A SEQUENCE OF ORTHONORMAL POLYNOMIALS BELONG TO L(2)

Authors
BERG C DURAN AJ
Citation
C. Berg et Aj. Duran, WHEN DOES A DISCRETE DIFFERENTIAL PERTURBATION OF A SEQUENCE OF ORTHONORMAL POLYNOMIALS BELONG TO L(2), Journal of functional analysis, 136(1), 1996, pp. 127-153
Citations number
7
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of functional analysis → ACNP
ISSN journal
00221236
Volume
136
Issue
1
Year of publication
1996
Pages
127 - 153
Database
ISI
SICI code
0022-1236(1996)136:1<127:WDADDP>2.0.ZU;2-6
Abstract
Let mu be a positive determinate measure with moments of every order a nd infinite support and let (p(n))(n) be the corresponding sequence of orthonormal polynomials. Let (z(1), k(1)),..., (z(N), k(N)) be given, where the z's are different complex numbers and the k's are nonnegati ve integers. We characterize the operators of the form T=Sigma(l=1)(N) Sigma(j=0)(kl)a(l,j)delta(zl)((j)), for which the sequence (T(p(n)))( n) belongs to l(2). (C) 1996 Academic Press, Inc.