Non-classic analytic expansions

A. M. Olevskii*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


I consider representations of functions on the circle by power series (= trigonometric series with positive frequencies) which converge almost everywhere. If it exists, such a representation is always unique. However, in contrast to Riemannian theory, it may differ from the classical Fourier expansion, even for a smooth function [1]. I'll give a survey of the subject and discuss the most recent progress [2].

Original languageEnglish
Pages (from-to)9-10
Number of pages2
JournalReal Analysis Exchange
Issue number1
StatePublished - 2008


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