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Generalized powers and measures

2021
journal article
article
10.7494/OpMath.2021.41.6.747
Journal
Opuscula Mathematica
70
Author
Burdak Zbigniew

Kosiek Marek

Pagacz Patryk

Rudol Krzysztof

Słociński Marek
Volume
41
Number
6
Pages
747-754
ISSN
1232-9274
eISSN
2300-6919
Keywords in English

representing measures

Szegö-singular measure

compatible pair of isometries

spectral measure

Language
English
Journal language
English
Abstract in English

Using the winding of measures on torus in “rational directions” special classes of unitary operators and pairs of isometries are defined. This provides nontrivial examples of generalized powers. Operators related to winding Szegö-singular measures are shown to have specific properties of their invariant subspaces.

Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.abstract.enUsing the winding of measures on torus in “rational directions” special classes of unitary operators and pairs of isometries are defined. This provides nontrivial examples of generalized powers. Operators related to winding Szegö-singular measures are shown to have specific properties of their invariant subspaces.pl
dc.affiliationWydział Matematyki i Informatyki : Instytut Matematykipl
dc.contributor.authorBurdak, Zbigniewpl
dc.contributor.authorKosiek, Marek - 129182 pl
dc.contributor.authorPagacz, Patryk - 106982 pl
dc.contributor.authorRudol, Krzysztofpl
dc.contributor.authorSłociński, Marek - 131928 pl
dc.date.accessioned2021-12-12T22:22:35Z
dc.date.available2021-12-12T22:22:35Z
dc.date.issued2021pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number6pl
dc.description.physical747-754pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume41pl
dc.identifier.doi10.7494/OpMath.2021.41.6.747pl
dc.identifier.eissn2300-6919pl
dc.identifier.issn1232-9274pl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/285125
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeotwarte czasopismo
dc.subject.enrepresenting measurespl
dc.subject.enSzegö-singular measurepl
dc.subject.encompatible pair of isometriespl
dc.subject.enspectral measurepl
dc.subtypeArticlepl
dc.titleGeneralized powers and measurespl
dc.title.journalOpuscula Mathematicapl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
Using the winding of measures on torus in “rational directions” special classes of unitary operators and pairs of isometries are defined. This provides nontrivial examples of generalized powers. Operators related to winding Szegö-singular measures are shown to have specific properties of their invariant subspaces.
dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.authorpl
Burdak, Zbigniew
dc.contributor.authorpl
Kosiek, Marek - 129182
dc.contributor.authorpl
Pagacz, Patryk - 106982
dc.contributor.authorpl
Rudol, Krzysztof
dc.contributor.authorpl
Słociński, Marek - 131928
dc.date.accessioned
2021-12-12T22:22:35Z
dc.date.available
2021-12-12T22:22:35Z
dc.date.issuedpl
2021
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
6
dc.description.physicalpl
747-754
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
41
dc.identifier.doipl
10.7494/OpMath.2021.41.6.747
dc.identifier.eissnpl
2300-6919
dc.identifier.issnpl
1232-9274
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/285125
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
otwarte czasopismo
dc.subject.enpl
representing measures
dc.subject.enpl
Szegö-singular measure
dc.subject.enpl
compatible pair of isometries
dc.subject.enpl
spectral measure
dc.subtypepl
Article
dc.titlepl
Generalized powers and measures
dc.title.journalpl
Opuscula Mathematica
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Kosiek, Marek
Pagacz, Patryk
Słociński, Marek
No affiliation
Burdak, Zbigniew
Rudol, Krzysztof

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Except as otherwise noted, this item is licensed under : Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa

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