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Minimality and (weighted) interpolation in Paley-Wiener spaces
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2014 (English)In: Archiv der Mathematik, ISSN 0003-889X, E-ISSN 1420-8938, Vol. 102, no 4, 379-389 p.Article in journal (Refereed) Published
Abstract [en]

We investigate links between minimality, Carleson condition, and (weighted) interpolation in Paley-Wiener spaces. In particular, we show that the Carleson condition on a sequence. together with minimality in Paley-Wiener spaces PW iota p implies the interpolation property of Lambda in PW iota+epsilon p, for every epsilon > 0. This result does not, surprisingly, require uniform minimality.

Place, publisher, year, edition, pages
2014. Vol. 102, no 4, 379-389 p.
Keyword [en]
Interpolation, Paley-Wiener spaces, Minimal sequences, Upper uniform density
National Category
URN: urn:nbn:se:kth:diva-149230DOI: 10.1007/s00013-014-0638-0ISI: 000339002200008ScopusID: 2-s2.0-84899741368OAI: diva2:738886

QC 20140819

Available from: 2014-08-19 Created: 2014-08-18 Last updated: 2014-08-19Bibliographically approved

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Gaunard, Frédéric
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Mathematics (Dept.)
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