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...
| Hlavní autoři: | , |
|---|---|
| Médium: | info:eu-repo/semantics/article |
| Jazyk: | English |
| Vydáno: |
2012
|
| Témata: | |
| On-line přístup: | http://hdl.handle.net/10835/1624 |