Uncertainty principles in holomorphic function spaces on the unit ball
Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 122-136
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On all Bergman–Besov Hilbert spaces on the unit disk, we find self-adjoint weighted shift operators that are differential operators of half-order whose commutators are the identity, thereby obtaining uncertainty relations in these spaces. We also obtain joint average uncertainty relations for pairs of commuting tuples of operators on the same spaces defined on the unit ball. We further identify functions that yield equality in some uncertainty inequalities.
Mots-clés :
Uncertainty principle, weighted shift operator, bosonic Fock space, Bergman–Besov space, Drury–Arveson space
Kaptanoğlu, H. Turgay. Uncertainty principles in holomorphic function spaces on the unit ball. Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 122-136. doi: 10.4153/S0008439523000589
@article{10_4153_S0008439523000589,
author = {Kaptano\u{g}lu, H. Turgay},
title = {Uncertainty principles in holomorphic function spaces on the unit ball},
journal = {Canadian mathematical bulletin},
pages = {122--136},
year = {2024},
volume = {67},
number = {1},
doi = {10.4153/S0008439523000589},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000589/}
}
TY - JOUR AU - Kaptanoğlu, H. Turgay TI - Uncertainty principles in holomorphic function spaces on the unit ball JO - Canadian mathematical bulletin PY - 2024 SP - 122 EP - 136 VL - 67 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000589/ DO - 10.4153/S0008439523000589 ID - 10_4153_S0008439523000589 ER -
%0 Journal Article %A Kaptanoğlu, H. Turgay %T Uncertainty principles in holomorphic function spaces on the unit ball %J Canadian mathematical bulletin %D 2024 %P 122-136 %V 67 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000589/ %R 10.4153/S0008439523000589 %F 10_4153_S0008439523000589
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