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    Asymptotics of the L2 norm of derivatives of OPUC

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    Martínez-Finkelshtein-Asymptotics.pdf (359.8Kb)
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    URI: http://hdl.handle.net/10835/1624
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    Author/s
    Martínez-Finkelshtein, Andrei; Barry, Simon
    Date
    2011
    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.
    Palabra/s clave
    Polinomios ortogonales
    Asintótica
    Orthogonal polynomials
    Derivative asymptotics
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    • Artículos de revista Dpto. Matemáticas [135]
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