title: Subspaces of C\infty invariant under the differentiation
metadata.name: dc.contributor.author
metadata.value: Aleman, Alexandru
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Baranov, Anton
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Belov, Yurii
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-04-11T00:39:31Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-04-11T00:39:31Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2015-04-15
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: A. Aleman, A. Baranov, Yu. Belov, Subspaces of C\infty invariant under the differentiation, Journal of Functional Analysis, 268  (2015), 8, 2421-2439
metadata.lang: en_GB
metadata.name: dc.identifier.issn
metadata.value: 0022-1236
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/2046
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: We prove that a proper differentiation invariant subspace of C\infty such that the restriction of the differentiation operator has a discrete spectrum is spanned by functions vanishing outside some closed interval and monomial exponentials corresponding to the spectrum if its density does not exceed  the critical value. In addition, we prove that the result is not necessarily true when  the density equals the  critical value. This answers a question posed by the first author and B. Korenblum.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: RFBR grant 12-01-31492
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: Elsevier
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: spectal synthesis, invariant subspace
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Subspaces of C\infty invariant under the differentiation
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 1309.6968v2.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/2046/2/1309.6968v2.pdf
resources.format: Adobe PDF
resources.size: 226,07 kB