On the "prediction" problem

Alexander Olevskii*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We prove that almost every (in the Baire category sense) weight w on a circle T satisfies the following property: any function from L2(w, T) can be decomposed as a series ∑n∈ℤ+ c(n) eint which converges in the norm. We discuss this result in the context of the classical Szegö-Kolmogorov "prediction" theorem.

Original languageEnglish
Pages (from-to)279-282
Number of pages4
JournalComptes Rendus Mathematique
Issue number4
StatePublished - 28 Feb 2002


FundersFunder number
Israel Science Foundation


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