Eberlein decomposition for PV inflation systems
Baake M, Strungaru N (2021)
Letters in Mathematical Physics 111(2): 59.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Baake, MichaelUniBi;
Strungaru, Nicolae
Einrichtung
Abstract / Bemerkung
The Dirac combs of primitive Pisot-Vijayaraghavan (PV) inflations on the real line or, more generally, in Rd are analysed. We construct a mean-orthogonal splitting for such Dirac combs that leads to the classic Eberlein decomposition on the level of the pair correlation measures, and thus to the separation of pure point versus continuous spectral components in the corresponding diffraction measures. This is illustrated with two guiding examples, and an extension to more general systems with randomness is outlined.
Stichworte
Inflation tilings;
Diffraction measure;
Eberlein decomposition;
Spectral;
components;
52C23;
42A38
Erscheinungsjahr
2021
Zeitschriftentitel
Letters in Mathematical Physics
Band
111
Ausgabe
2
Art.-Nr.
59
Urheberrecht / Lizenzen
ISSN
0377-9017
eISSN
1573-0530
Finanzierungs-Informationen
Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.
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https://pub.uni-bielefeld.de/record/2960413
Zitieren
Baake M, Strungaru N. Eberlein decomposition for PV inflation systems. Letters in Mathematical Physics. 2021;111(2): 59.
Baake, M., & Strungaru, N. (2021). Eberlein decomposition for PV inflation systems. Letters in Mathematical Physics, 111(2), 59. https://doi.org/10.1007/s11005-021-01399-w
Baake, Michael, and Strungaru, Nicolae. 2021. “Eberlein decomposition for PV inflation systems”. Letters in Mathematical Physics 111 (2): 59.
Baake, M., and Strungaru, N. (2021). Eberlein decomposition for PV inflation systems. Letters in Mathematical Physics 111:59.
Baake, M., & Strungaru, N., 2021. Eberlein decomposition for PV inflation systems. Letters in Mathematical Physics, 111(2): 59.
M. Baake and N. Strungaru, “Eberlein decomposition for PV inflation systems”, Letters in Mathematical Physics, vol. 111, 2021, : 59.
Baake, M., Strungaru, N.: Eberlein decomposition for PV inflation systems. Letters in Mathematical Physics. 111, : 59 (2021).
Baake, Michael, and Strungaru, Nicolae. “Eberlein decomposition for PV inflation systems”. Letters in Mathematical Physics 111.2 (2021): 59.
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2022-07-27T11:29:46Z
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