Asymptotics of the L2 norm of derivatives of OPUC

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 mas...

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Detalhes bibliográficos
Principais autores: Martínez-Finkelshtein, Andrei, Barry, Simon
Formato: info:eu-repo/semantics/article
Idioma:English
Publicado em: 2012
Assuntos:
Acesso em linha:http://hdl.handle.net/10835/1624