TY  - JOUR
ID  - Burdak2021
LB  - Burdak2021
AU  - Burdak, Zbigniew
AU  - Kosiek, Marek
AU  - Pagacz, Patryk
AU  - Rudol, Krzysztof
AU  - Słociński, Marek
TI  - Generalized powers and measures
ST  - Generalized powers and measures
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2021
VL  - 41
IS  - 6
SP  - 747
EP  - 754
DO  - https://doi.org/10.7494/OpMath.2021.41.6.747
UR  - https://doi.org/10.7494/OpMath.2021.41.6.747
AB  - 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.
KW  - representing measures
KW  - Szegö-singular measure
KW  - compatible pair of isometries
KW  - spectral measure
SN  - 1232-9274
ER  -