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Subspaces of de branges spaces with prescribed growth
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2007 (English)In: St. Petersburg Mathematical Journal, ISSN 1061-0022, E-ISSN 1547-7371, Vol. 18, no 5, p. 699-716Article in journal (Refereed) Published
Abstract [en]

The growth properties of de Branges spaces and their subspaces are studied. It is shown that, for each given pair of growth functions λ(r) = O(r) and λ1 = o(λ), there exist de Branges spaces of growth λ that have a de Branges subspace of growth λ1. This phenomenon cannot occur for a class of de Branges spaces that, in a certain sense, behave regularly along the real axis.

Place, publisher, year, edition, pages
2007. Vol. 18, no 5, p. 699-716
Keywords [en]
De Branges space, De Branges subspace, Growth function
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-202053DOI: 10.1090/S1061-0022-07-00969-7Scopus ID: 2-s2.0-85009781695OAI: oai:DiVA.org:kth-202053DiVA, id: diva2:1075860
Note

QC 20170221

Available from: 2017-02-21 Created: 2017-02-21 Last updated: 2017-11-29Bibliographically approved

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