Generalized powers and measures

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 t...

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Autores principales:	Zbigniew Burdak, Marek Kosiek, Patryk Pagacz, Krzysztof Rudol, Marek Słociński
Formato:	article
Lenguaje:	EN
Publicado:	AGH Univeristy of Science and Technology Press 2021
Materias:	representing measures szegö-singular measure compatible pair of isometries spectral measure Applied mathematics. Quantitative methods T57-57.97
Acceso en línea:	https://doi.org/10.7494/OpMath.2021.41.6.747 https://doaj.org/article/604983d26d944ede9a22e584c90a05dd
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spelling	oai:doaj.org-article:604983d26d944ede9a22e584c90a05dd2021-11-29T22:51:48ZGeneralized powers and measures1232-9274https://doi.org/10.7494/OpMath.2021.41.6.747https://doaj.org/article/604983d26d944ede9a22e584c90a05dd2021-11-01T00:00:00Zhttps://www.opuscula.agh.edu.pl/vol41/6/art/opuscula_math_4136.pdfhttps://doaj.org/toc/1232-9274Using 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.Zbigniew BurdakMarek KosiekPatryk PagaczKrzysztof RudolMarek SłocińskiAGH Univeristy of Science and Technology Pressarticlerepresenting measuresszegö-singular measurecompatible pair of isometriesspectral measureApplied mathematics. Quantitative methodsT57-57.97ENOpuscula Mathematica, Vol 41, Iss 6, Pp 747-754 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	representing measures szegö-singular measure compatible pair of isometries spectral measure Applied mathematics. Quantitative methods T57-57.97
spellingShingle	representing measures szegö-singular measure compatible pair of isometries spectral measure Applied mathematics. Quantitative methods T57-57.97 Zbigniew Burdak Marek Kosiek Patryk Pagacz Krzysztof Rudol Marek Słociński Generalized powers and measures
description	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.
format	article
author	Zbigniew Burdak Marek Kosiek Patryk Pagacz Krzysztof Rudol Marek Słociński
author_facet	Zbigniew Burdak Marek Kosiek Patryk Pagacz Krzysztof Rudol Marek Słociński
author_sort	Zbigniew Burdak
title	Generalized powers and measures
title_short	Generalized powers and measures
title_full	Generalized powers and measures
title_fullStr	Generalized powers and measures
title_full_unstemmed	Generalized powers and measures
title_sort	generalized powers and measures
publisher	AGH Univeristy of Science and Technology Press
publishDate	2021
url	https://doi.org/10.7494/OpMath.2021.41.6.747 https://doaj.org/article/604983d26d944ede9a22e584c90a05dd
work_keys_str_mv	AT zbigniewburdak generalizedpowersandmeasures AT marekkosiek generalizedpowersandmeasures AT patrykpagacz generalizedpowersandmeasures AT krzysztofrudol generalizedpowersandmeasures AT mareksłocinski generalizedpowersandmeasures
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Generalized powers and measures

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