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Article: On spectral Cantor measures

TitleOn spectral Cantor measures
Authors
Łaba, IzabellaWang, Yang
KeywordsCantor measure
IFS
Ruelle operator
Spectral measure
Issue Date2002
Citation
Journal of Functional Analysis, 2002, v. 193, n. 2, p. 409-420 How to Cite?
DOI: http://dx.doi.org/10.1006/jfan.2001.3941
AbstractA probability measure in ℝd is called a spectral measure if it has an orthonormal basis consisting of exponentials. In this paper, we study spectral Cantor measures. We establish a large class of such measures, and give a necessary and sufficient condition on the spectrum of a spectral Cantor measure. These results extend the studies by Jorgensen and Pedersen (J. Anal. Math. 75 (1998), 185-228) and Strichartz (J. D'Analyse Math. 81 (2000), 209-238). © 2002 Elsevier Science (USA).
Persistent Identifierhttp://hdl.handle.net/10722/362983
ISSN
0022-1236
2023 Impact Factor: 1.7
2023 SCImago Journal Rankings: 2.084

 

DC FieldValueLanguage
dc.contributor.authorŁaba, Izabella-
dc.contributor.authorWang, Yang-
dc.date.accessioned2025-10-10T07:43:52Z-
dc.date.available2025-10-10T07:43:52Z-
dc.date.issued2002-
dc.identifier.citationJournal of Functional Analysis, 2002, v. 193, n. 2, p. 409-420-
dc.identifier.issn0022-1236-
dc.identifier.urihttp://hdl.handle.net/10722/362983-
dc.description.abstractA probability measure in ℝ<sup>d</sup> is called a spectral measure if it has an orthonormal basis consisting of exponentials. In this paper, we study spectral Cantor measures. We establish a large class of such measures, and give a necessary and sufficient condition on the spectrum of a spectral Cantor measure. These results extend the studies by Jorgensen and Pedersen (J. Anal. Math. 75 (1998), 185-228) and Strichartz (J. D'Analyse Math. 81 (2000), 209-238). © 2002 Elsevier Science (USA).-
dc.languageeng-
dc.relation.ispartofJournal of Functional Analysis-
dc.subjectCantor measure-
dc.subjectIFS-
dc.subjectRuelle operator-
dc.subjectSpectral measure-
dc.titleOn spectral Cantor measures-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1006/jfan.2001.3941-
dc.identifier.scopuseid_2-s2.0-0037143985-
dc.identifier.volume193-
dc.identifier.issue2-
dc.identifier.spage409-
dc.identifier.epage420-

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