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Asymptotics of the L2 norm of derivatives of OPUC
dc.contributor.author | Martínez Finkelshtein, Andrei | |
dc.contributor.author | Barry, Simon | |
dc.date.accessioned | 2012-07-31T11:43:09Z | |
dc.date.available | 2012-07-31T11:43:09Z | |
dc.date.issued | 2011 | |
dc.identifier.uri | http://hdl.handle.net/10835/1624 | |
dc.description.abstract | We show that for many families of OPUC, one has k'′nk2/n → 1, , a condition we call normal behavior. We prove that this implies | n| → 0 and that it holds if P∞ n=0| n| < ∞. We also prove it is true for many sparse sequences. On the other hand, it is often destroyed by the insertion of a mass point. | es_ES |
dc.language.iso | en | es_ES |
dc.source | Journal of Approximation Theory Volume 163, Issue 6, June 2011 | es_ES |
dc.subject | Polinomios ortogonales | es_ES |
dc.subject | Asintótica | es_ES |
dc.subject | Orthogonal polynomials | es_ES |
dc.subject | Derivative asymptotics | es_ES |
dc.title | Asymptotics of the L2 norm of derivatives of OPUC | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |