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Chapitre D'ouvrage Année : 2018

Spectra of stationary processes on Z

50 Years with Hardy Spaces, A Tribute to Victor Havin (eds. A.Baranov, S.Kisliakov, N.Nikolski), Operator Theory: Advances and Applications, vol. 261, 2018, 141-157

Résumé

We will discuss a somewhat striking spectral property of finitely valued stationary processes on Z that says that if the spectral measure of the process has a gap then the process is periodic. We will give some extensions of this result and raise several related questions.

Dates et versions

hal-02065967 , version 1 (13-03-2019)

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Alexander Borichev, Mikhail Sodin, Benjamin Weiss. Spectra of stationary processes on Z. 50 Years with Hardy Spaces, A Tribute to Victor Havin (eds. A.Baranov, S.Kisliakov, N.Nikolski), 2018. ⟨hal-02065967⟩
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